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Finding the Fourth Proportional to 616.17, 925.16 and 386.04

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Solution

The fourth proportional to 616.17, 925.16 and 386.04 is: 579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.17 : 925.16 = 386.04 : x
  2. Step 2: Convert to fraction form
    616.17/925.16 = 386.04/x
  3. Step 3: Cross multiply
    616.17x = 925.16 × 386.04
  4. Step 4: Simplify right side
    616.17x = 357,146.84
  5. Step 5: Solve for x
    x = 357,146.84/616.17
  6. Step 6: Final answer
    x = 579.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.