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Finding the Fourth Proportional to 646.96, 970.44 and 322.25

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Solution

The fourth proportional to 646.96, 970.44 and 322.25 is: 483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.96 : 970.44 = 322.25 : x
  2. Step 2: Convert to fraction form
    646.96/970.44 = 322.25/x
  3. Step 3: Cross multiply
    646.96x = 970.44 × 322.25
  4. Step 4: Simplify right side
    646.96x = 312,724.29
  5. Step 5: Solve for x
    x = 312,724.29/646.96
  6. Step 6: Final answer
    x = 483.38

Related Problems

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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.