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Finding the Fourth Proportional to 532.69, 797.82 and 478.02

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Solution

The fourth proportional to 532.69, 797.82 and 478.02 is: 715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.69 : 797.82 = 478.02 : x
  2. Step 2: Convert to fraction form
    532.69/797.82 = 478.02/x
  3. Step 3: Cross multiply
    532.69x = 797.82 × 478.02
  4. Step 4: Simplify right side
    532.69x = 381,373.92
  5. Step 5: Solve for x
    x = 381,373.92/532.69
  6. Step 6: Final answer
    x = 715.94

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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.