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Finding the Fourth Proportional to 615.58, 922.15 and 461.68

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Solution

The fourth proportional to 615.58, 922.15 and 461.68 is: 691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.58 : 922.15 = 461.68 : x
  2. Step 2: Convert to fraction form
    615.58/922.15 = 461.68/x
  3. Step 3: Cross multiply
    615.58x = 922.15 × 461.68
  4. Step 4: Simplify right side
    615.58x = 425,734.75
  5. Step 5: Solve for x
    x = 425,734.75/615.58
  6. Step 6: Final answer
    x = 691.60

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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.