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Finding the Fourth Proportional to 452.68, 625.05 and 354.25

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Solution

The fourth proportional to 452.68, 625.05 and 354.25 is: 489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.68 : 625.05 = 354.25 : x
  2. Step 2: Convert to fraction form
    452.68/625.05 = 354.25/x
  3. Step 3: Cross multiply
    452.68x = 625.05 × 354.25
  4. Step 4: Simplify right side
    452.68x = 221,423.96
  5. Step 5: Solve for x
    x = 221,423.96/452.68
  6. Step 6: Final answer
    x = 489.14

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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.