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Finding the Fourth Proportional to 615.97, 924.29 and 410.65

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Solution

The fourth proportional to 615.97, 924.29 and 410.65 is: 616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.97 : 924.29 = 410.65 : x
  2. Step 2: Convert to fraction form
    615.97/924.29 = 410.65/x
  3. Step 3: Cross multiply
    615.97x = 924.29 × 410.65
  4. Step 4: Simplify right side
    615.97x = 379,559.69
  5. Step 5: Solve for x
    x = 379,559.69/615.97
  6. Step 6: Final answer
    x = 616.20

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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.