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Finding the Fourth Proportional to 532.98, 735.06 and 323.12

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Solution

The fourth proportional to 532.98, 735.06 and 323.12 is: 445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.98 : 735.06 = 323.12 : x
  2. Step 2: Convert to fraction form
    532.98/735.06 = 323.12/x
  3. Step 3: Cross multiply
    532.98x = 735.06 × 323.12
  4. Step 4: Simplify right side
    532.98x = 237,508.91
  5. Step 5: Solve for x
    x = 237,508.91/532.98
  6. Step 6: Final answer
    x = 445.62

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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.