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Finding the Fourth Proportional to 410.87, 615.36 and 374.42

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Solution

The fourth proportional to 410.87, 615.36 and 374.42 is: 560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.87 : 615.36 = 374.42 : x
  2. Step 2: Convert to fraction form
    410.87/615.36 = 374.42/x
  3. Step 3: Cross multiply
    410.87x = 615.36 × 374.42
  4. Step 4: Simplify right side
    410.87x = 230,403.09
  5. Step 5: Solve for x
    x = 230,403.09/410.87
  6. Step 6: Final answer
    x = 560.77

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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.