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Finding the Fourth Proportional to 462.98, 638.90 and 253.16

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Solution

The fourth proportional to 462.98, 638.90 and 253.16 is: 349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.98 : 638.90 = 253.16 : x
  2. Step 2: Convert to fraction form
    462.98/638.90 = 253.16/x
  3. Step 3: Cross multiply
    462.98x = 638.90 × 253.16
  4. Step 4: Simplify right side
    462.98x = 161,743.92
  5. Step 5: Solve for x
    x = 161,743.92/462.98
  6. Step 6: Final answer
    x = 349.35

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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.