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Finding the Fourth Proportional to 532.40, 797.87 and 402.29

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Solution

The fourth proportional to 532.40, 797.87 and 402.29 is: 602.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.40 : 797.87 = 402.29 : x
  2. Step 2: Convert to fraction form
    532.40/797.87 = 402.29/x
  3. Step 3: Cross multiply
    532.40x = 797.87 × 402.29
  4. Step 4: Simplify right side
    532.40x = 320,975.13
  5. Step 5: Solve for x
    x = 320,975.13/532.40
  6. Step 6: Final answer
    x = 602.89

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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.