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Finding the Fourth Proportional to 532.54, 798.81 and 410.98

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Solution

The fourth proportional to 532.54, 798.81 and 410.98 is: 616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.54 : 798.81 = 410.98 : x
  2. Step 2: Convert to fraction form
    532.54/798.81 = 410.98/x
  3. Step 3: Cross multiply
    532.54x = 798.81 × 410.98
  4. Step 4: Simplify right side
    532.54x = 328,294.93
  5. Step 5: Solve for x
    x = 328,294.93/532.54
  6. Step 6: Final answer
    x = 616.47

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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.