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Finding the Fourth Proportional to 452.69, 624.17 and 382.63

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Solution

The fourth proportional to 452.69, 624.17 and 382.63 is: 527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.69 : 624.17 = 382.63 : x
  2. Step 2: Convert to fraction form
    452.69/624.17 = 382.63/x
  3. Step 3: Cross multiply
    452.69x = 624.17 × 382.63
  4. Step 4: Simplify right side
    452.69x = 238,821.13
  5. Step 5: Solve for x
    x = 238,821.13/452.69
  6. Step 6: Final answer
    x = 527.56

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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.