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Finding the Fourth Proportional to 532.48, 733.20 and 384.82

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Solution

The fourth proportional to 532.48, 733.20 and 384.82 is: 529.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.48 : 733.20 = 384.82 : x
  2. Step 2: Convert to fraction form
    532.48/733.20 = 384.82/x
  3. Step 3: Cross multiply
    532.48x = 733.20 × 384.82
  4. Step 4: Simplify right side
    532.48x = 282,150.02
  5. Step 5: Solve for x
    x = 282,150.02/532.48
  6. Step 6: Final answer
    x = 529.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.