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Finding the Fourth Proportional to 410.79, 615.69 and 150.58

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Solution

The fourth proportional to 410.79, 615.69 and 150.58 is: 225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.79 : 615.69 = 150.58 : x
  2. Step 2: Convert to fraction form
    410.79/615.69 = 150.58/x
  3. Step 3: Cross multiply
    410.79x = 615.69 × 150.58
  4. Step 4: Simplify right side
    410.79x = 92,710.60
  5. Step 5: Solve for x
    x = 92,710.60/410.79
  6. Step 6: Final answer
    x = 225.69

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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.