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Finding the Fourth Proportional to 462.23, 637.84 and 265.75

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Solution

The fourth proportional to 462.23, 637.84 and 265.75 is: 366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.23 : 637.84 = 265.75 : x
  2. Step 2: Convert to fraction form
    462.23/637.84 = 265.75/x
  3. Step 3: Cross multiply
    462.23x = 637.84 × 265.75
  4. Step 4: Simplify right side
    462.23x = 169,501.46
  5. Step 5: Solve for x
    x = 169,501.46/462.23
  6. Step 6: Final answer
    x = 366.71

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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.