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Finding the Fourth Proportional to 452.32, 624.24 and 265.88

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Solution

The fourth proportional to 452.32, 624.24 and 265.88 is: 366.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.32 : 624.24 = 265.88 : x
  2. Step 2: Convert to fraction form
    452.32/624.24 = 265.88/x
  3. Step 3: Cross multiply
    452.32x = 624.24 × 265.88
  4. Step 4: Simplify right side
    452.32x = 165,974.49
  5. Step 5: Solve for x
    x = 165,974.49/452.32
  6. Step 6: Final answer
    x = 366.94

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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.