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Finding the Fourth Proportional to 616.88, 924.06 and 461

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Solution

The fourth proportional to 616.88, 924.06 and 461 is: 690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.88 : 924.06 = 461 : x
  2. Step 2: Convert to fraction form
    616.88/924.06 = 461/x
  3. Step 3: Cross multiply
    616.88x = 924.06 × 461
  4. Step 4: Simplify right side
    616.88x = 425,991.66
  5. Step 5: Solve for x
    x = 425,991.66/616.88
  6. Step 6: Final answer
    x = 690.56

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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.