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Finding the Fourth Proportional to 410.19, 566.61 and 327.87

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Solution

The fourth proportional to 410.19, 566.61 and 327.87 is: 452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.19 : 566.61 = 327.87 : x
  2. Step 2: Convert to fraction form
    410.19/566.61 = 327.87/x
  3. Step 3: Cross multiply
    410.19x = 566.61 × 327.87
  4. Step 4: Simplify right side
    410.19x = 185,774.42
  5. Step 5: Solve for x
    x = 185,774.42/410.19
  6. Step 6: Final answer
    x = 452.90

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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.