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Finding the Fourth Proportional to 414.78, 572.02 and 340.66

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Solution

The fourth proportional to 414.78, 572.02 and 340.66 is: 469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.78 : 572.02 = 340.66 : x
  2. Step 2: Convert to fraction form
    414.78/572.02 = 340.66/x
  3. Step 3: Cross multiply
    414.78x = 572.02 × 340.66
  4. Step 4: Simplify right side
    414.78x = 194,864.33
  5. Step 5: Solve for x
    x = 194,864.33/414.78
  6. Step 6: Final answer
    x = 469.80

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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.