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Finding the Fourth Proportional to 646.89, 970.02 and 322.44

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Solution

The fourth proportional to 646.89, 970.02 and 322.44 is: 483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.89 : 970.02 = 322.44 : x
  2. Step 2: Convert to fraction form
    646.89/970.02 = 322.44/x
  3. Step 3: Cross multiply
    646.89x = 970.02 × 322.44
  4. Step 4: Simplify right side
    646.89x = 312,773.25
  5. Step 5: Solve for x
    x = 312,773.25/646.89
  6. Step 6: Final answer
    x = 483.50

Related Problems

Find fourth proportional to 323.45, 485.01 and 161.22
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.