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Finding the Fourth Proportional to 532.38, 798.08 and 288.62

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Solution

The fourth proportional to 532.38, 798.08 and 288.62 is: 432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.38 : 798.08 = 288.62 : x
  2. Step 2: Convert to fraction form
    532.38/798.08 = 288.62/x
  3. Step 3: Cross multiply
    532.38x = 798.08 × 288.62
  4. Step 4: Simplify right side
    532.38x = 230,341.85
  5. Step 5: Solve for x
    x = 230,341.85/532.38
  6. Step 6: Final answer
    x = 432.66

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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.