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Finding the Fourth Proportional to 616.51, 851.75 and 477.19

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Solution

The fourth proportional to 616.51, 851.75 and 477.19 is: 659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.51 : 851.75 = 477.19 : x
  2. Step 2: Convert to fraction form
    616.51/851.75 = 477.19/x
  3. Step 3: Cross multiply
    616.51x = 851.75 × 477.19
  4. Step 4: Simplify right side
    616.51x = 406,446.58
  5. Step 5: Solve for x
    x = 406,446.58/616.51
  6. Step 6: Final answer
    x = 659.27

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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.