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Finding the Fourth Proportional to 610.56, 916.24 and 285.95

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Solution

The fourth proportional to 610.56, 916.24 and 285.95 is: 429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.56 : 916.24 = 285.95 : x
  2. Step 2: Convert to fraction form
    610.56/916.24 = 285.95/x
  3. Step 3: Cross multiply
    610.56x = 916.24 × 285.95
  4. Step 4: Simplify right side
    610.56x = 261,998.83
  5. Step 5: Solve for x
    x = 261,998.83/610.56
  6. Step 6: Final answer
    x = 429.11

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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.