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Finding the Fourth Proportional to 410.53, 615.80 and 229.07

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Solution

The fourth proportional to 410.53, 615.80 and 229.07 is: 343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.53 : 615.80 = 229.07 : x
  2. Step 2: Convert to fraction form
    410.53/615.80 = 229.07/x
  3. Step 3: Cross multiply
    410.53x = 615.80 × 229.07
  4. Step 4: Simplify right side
    410.53x = 141,061.31
  5. Step 5: Solve for x
    x = 141,061.31/410.53
  6. Step 6: Final answer
    x = 343.61

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Why These Related Problems?

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