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Finding the Fourth Proportional to 417.66, 576.34 and 251.79

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Solution

The fourth proportional to 417.66, 576.34 and 251.79 is: 347.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.66 : 576.34 = 251.79 : x
  2. Step 2: Convert to fraction form
    417.66/576.34 = 251.79/x
  3. Step 3: Cross multiply
    417.66x = 576.34 × 251.79
  4. Step 4: Simplify right side
    417.66x = 145,116.65
  5. Step 5: Solve for x
    x = 145,116.65/417.66
  6. Step 6: Final answer
    x = 347.45

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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.