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Finding the Fourth Proportional to 616.74, 925.84 and 251.80

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Solution

The fourth proportional to 616.74, 925.84 and 251.80 is: 378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.74 : 925.84 = 251.80 : x
  2. Step 2: Convert to fraction form
    616.74/925.84 = 251.80/x
  3. Step 3: Cross multiply
    616.74x = 925.84 × 251.80
  4. Step 4: Simplify right side
    616.74x = 233,126.51
  5. Step 5: Solve for x
    x = 233,126.51/616.74
  6. Step 6: Final answer
    x = 378.00

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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.