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Finding the Fourth Proportional to 462.90, 638.81 and 253.07

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Solution

The fourth proportional to 462.90, 638.81 and 253.07 is: 349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.90 : 638.81 = 253.07 : x
  2. Step 2: Convert to fraction form
    462.90/638.81 = 253.07/x
  3. Step 3: Cross multiply
    462.90x = 638.81 × 253.07
  4. Step 4: Simplify right side
    462.90x = 161,663.65
  5. Step 5: Solve for x
    x = 161,663.65/462.90
  6. Step 6: Final answer
    x = 349.24

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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.