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Finding the Fourth Proportional to 616.93, 925.74 and 343.17

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Solution

The fourth proportional to 616.93, 925.74 and 343.17 is: 514.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.93 : 925.74 = 343.17 : x
  2. Step 2: Convert to fraction form
    616.93/925.74 = 343.17/x
  3. Step 3: Cross multiply
    616.93x = 925.74 × 343.17
  4. Step 4: Simplify right side
    616.93x = 317,686.20
  5. Step 5: Solve for x
    x = 317,686.20/616.93
  6. Step 6: Final answer
    x = 514.95

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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.