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Finding the Fourth Proportional to 610.63, 916.17 and 285.77

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Solution

The fourth proportional to 610.63, 916.17 and 285.77 is: 428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.63 : 916.17 = 285.77 : x
  2. Step 2: Convert to fraction form
    610.63/916.17 = 285.77/x
  3. Step 3: Cross multiply
    610.63x = 916.17 × 285.77
  4. Step 4: Simplify right side
    610.63x = 261,811.61
  5. Step 5: Solve for x
    x = 261,811.61/610.63
  6. Step 6: Final answer
    x = 428.76

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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.