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Finding the Fourth Proportional to 452.57, 624.56 and 354.47

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Solution

The fourth proportional to 452.57, 624.56 and 354.47 is: 489.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.57 : 624.56 = 354.47 : x
  2. Step 2: Convert to fraction form
    452.57/624.56 = 354.47/x
  3. Step 3: Cross multiply
    452.57x = 624.56 × 354.47
  4. Step 4: Simplify right side
    452.57x = 221,382.89
  5. Step 5: Solve for x
    x = 221,382.89/452.57
  6. Step 6: Final answer
    x = 489.17

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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.