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Finding the Fourth Proportional to 452.49, 624.60 and 354.27

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Solution

The fourth proportional to 452.49, 624.60 and 354.27 is: 489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.49 : 624.60 = 354.27 : x
  2. Step 2: Convert to fraction form
    452.49/624.60 = 354.27/x
  3. Step 3: Cross multiply
    452.49x = 624.60 × 354.27
  4. Step 4: Simplify right side
    452.49x = 221,277.04
  5. Step 5: Solve for x
    x = 221,277.04/452.49
  6. Step 6: Final answer
    x = 489.02

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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.