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Finding the Fourth Proportional to 462.16, 688.82 and 364.24

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Solution

The fourth proportional to 462.16, 688.82 and 364.24 is: 542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.16 : 688.82 = 364.24 : x
  2. Step 2: Convert to fraction form
    462.16/688.82 = 364.24/x
  3. Step 3: Cross multiply
    462.16x = 688.82 × 364.24
  4. Step 4: Simplify right side
    462.16x = 250,895.80
  5. Step 5: Solve for x
    x = 250,895.80/462.16
  6. Step 6: Final answer
    x = 542.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.