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Finding the Fourth Proportional to 462.14, 637.42 and 314.51

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Solution

The fourth proportional to 462.14, 637.42 and 314.51 is: 433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.14 : 637.42 = 314.51 : x
  2. Step 2: Convert to fraction form
    462.14/637.42 = 314.51/x
  3. Step 3: Cross multiply
    462.14x = 637.42 × 314.51
  4. Step 4: Simplify right side
    462.14x = 200,474.96
  5. Step 5: Solve for x
    x = 200,474.96/462.14
  6. Step 6: Final answer
    x = 433.80

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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.