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Finding the Fourth Proportional to 462.06, 637.65 and 265.58

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Solution

The fourth proportional to 462.06, 637.65 and 265.58 is: 366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.06 : 637.65 = 265.58 : x
  2. Step 2: Convert to fraction form
    462.06/637.65 = 265.58/x
  3. Step 3: Cross multiply
    462.06x = 637.65 × 265.58
  4. Step 4: Simplify right side
    462.06x = 169,343.90
  5. Step 5: Solve for x
    x = 169,343.90/462.06
  6. Step 6: Final answer
    x = 366.50

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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.