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Finding the Fourth Proportional to 616.70, 851.45 and 476.57

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Solution

The fourth proportional to 616.70, 851.45 and 476.57 is: 657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.70 : 851.45 = 476.57 : x
  2. Step 2: Convert to fraction form
    616.70/851.45 = 476.57/x
  3. Step 3: Cross multiply
    616.70x = 851.45 × 476.57
  4. Step 4: Simplify right side
    616.70x = 405,768.89
  5. Step 5: Solve for x
    x = 405,768.89/616.70
  6. Step 6: Final answer
    x = 657.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.