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Finding the Fourth Proportional to 462.44, 638.17 and 265.98

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Solution

The fourth proportional to 462.44, 638.17 and 265.98 is: 367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.44 : 638.17 = 265.98 : x
  2. Step 2: Convert to fraction form
    462.44/638.17 = 265.98/x
  3. Step 3: Cross multiply
    462.44x = 638.17 × 265.98
  4. Step 4: Simplify right side
    462.44x = 169,740.46
  5. Step 5: Solve for x
    x = 169,740.46/462.44
  6. Step 6: Final answer
    x = 367.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.