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Finding the Fourth Proportional to 407.82, 562.77 and 230.78

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Solution

The fourth proportional to 407.82, 562.77 and 230.78 is: 318.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.82 : 562.77 = 230.78 : x
  2. Step 2: Convert to fraction form
    407.82/562.77 = 230.78/x
  3. Step 3: Cross multiply
    407.82x = 562.77 × 230.78
  4. Step 4: Simplify right side
    407.82x = 129,876.06
  5. Step 5: Solve for x
    x = 129,876.06/407.82
  6. Step 6: Final answer
    x = 318.46

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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.