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Finding the Fourth Proportional to 532.08, 732.42 and 470.07

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Solution

The fourth proportional to 532.08, 732.42 and 470.07 is: 647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.08 : 732.42 = 470.07 : x
  2. Step 2: Convert to fraction form
    532.08/732.42 = 470.07/x
  3. Step 3: Cross multiply
    532.08x = 732.42 × 470.07
  4. Step 4: Simplify right side
    532.08x = 344,288.67
  5. Step 5: Solve for x
    x = 344,288.67/532.08
  6. Step 6: Final answer
    x = 647.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.