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Finding the Fourth Proportional to 462.28, 637.14 and 364.36

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Solution

The fourth proportional to 462.28, 637.14 and 364.36 is: 502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.28 : 637.14 = 364.36 : x
  2. Step 2: Convert to fraction form
    462.28/637.14 = 364.36/x
  3. Step 3: Cross multiply
    462.28x = 637.14 × 364.36
  4. Step 4: Simplify right side
    462.28x = 232,148.33
  5. Step 5: Solve for x
    x = 232,148.33/462.28
  6. Step 6: Final answer
    x = 502.18

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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.