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Finding the Fourth Proportional to 532.04, 796.43 and 410.54

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Solution

The fourth proportional to 532.04, 796.43 and 410.54 is: 614.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.04 : 796.43 = 410.54 : x
  2. Step 2: Convert to fraction form
    532.04/796.43 = 410.54/x
  3. Step 3: Cross multiply
    532.04x = 796.43 × 410.54
  4. Step 4: Simplify right side
    532.04x = 326,963.42
  5. Step 5: Solve for x
    x = 326,963.42/532.04
  6. Step 6: Final answer
    x = 614.55

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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.