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Finding the Fourth Proportional to 647.54, 970.80 and 322.74

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Solution

The fourth proportional to 647.54, 970.80 and 322.74 is: 483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.54 : 970.80 = 322.74 : x
  2. Step 2: Convert to fraction form
    647.54/970.80 = 322.74/x
  3. Step 3: Cross multiply
    647.54x = 970.80 × 322.74
  4. Step 4: Simplify right side
    647.54x = 313,315.99
  5. Step 5: Solve for x
    x = 313,315.99/647.54
  6. Step 6: Final answer
    x = 483.86

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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.