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Finding the Fourth Proportional to 462.89, 638.79 and 253.07

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Solution

The fourth proportional to 462.89, 638.79 and 253.07 is: 349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.89 : 638.79 = 253.07 : x
  2. Step 2: Convert to fraction form
    462.89/638.79 = 253.07/x
  3. Step 3: Cross multiply
    462.89x = 638.79 × 253.07
  4. Step 4: Simplify right side
    462.89x = 161,655.39
  5. Step 5: Solve for x
    x = 161,655.39/462.89
  6. Step 6: Final answer
    x = 349.23

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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.