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Finding the Fourth Proportional to 532.01, 796.49 and 410.51

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Solution

The fourth proportional to 532.01, 796.49 and 410.51 is: 614.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.01 : 796.49 = 410.51 : x
  2. Step 2: Convert to fraction form
    532.01/796.49 = 410.51/x
  3. Step 3: Cross multiply
    532.01x = 796.49 × 410.51
  4. Step 4: Simplify right side
    532.01x = 326,966.14
  5. Step 5: Solve for x
    x = 326,966.14/532.01
  6. Step 6: Final answer
    x = 614.59

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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.