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Finding the Fourth Proportional to 462.14, 637.90 and 265.71

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Solution

The fourth proportional to 462.14, 637.90 and 265.71 is: 366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.14 : 637.90 = 265.71 : x
  2. Step 2: Convert to fraction form
    462.14/637.90 = 265.71/x
  3. Step 3: Cross multiply
    462.14x = 637.90 × 265.71
  4. Step 4: Simplify right side
    462.14x = 169,495.74
  5. Step 5: Solve for x
    x = 169,495.74/462.14
  6. Step 6: Final answer
    x = 366.77

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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.