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Finding the Fourth Proportional to 532.65, 735.15 and 308.56

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Solution

The fourth proportional to 532.65, 735.15 and 308.56 is: 425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.65 : 735.15 = 308.56 : x
  2. Step 2: Convert to fraction form
    532.65/735.15 = 308.56/x
  3. Step 3: Cross multiply
    532.65x = 735.15 × 308.56
  4. Step 4: Simplify right side
    532.65x = 226,837.88
  5. Step 5: Solve for x
    x = 226,837.88/532.65
  6. Step 6: Final answer
    x = 425.87

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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.