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Finding the Fourth Proportional to 410.07, 615.11 and 121.53

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Solution

The fourth proportional to 410.07, 615.11 and 121.53 is: 182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.07 : 615.11 = 121.53 : x
  2. Step 2: Convert to fraction form
    410.07/615.11 = 121.53/x
  3. Step 3: Cross multiply
    410.07x = 615.11 × 121.53
  4. Step 4: Simplify right side
    410.07x = 74,753.71
  5. Step 5: Solve for x
    x = 74,753.71/410.07
  6. Step 6: Final answer
    x = 182.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.