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Finding the Fourth Proportional to 417.58, 576.48 and 251.83

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Solution

The fourth proportional to 417.58, 576.48 and 251.83 is: 347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.58 : 576.48 = 251.83 : x
  2. Step 2: Convert to fraction form
    417.58/576.48 = 251.83/x
  3. Step 3: Cross multiply
    417.58x = 576.48 × 251.83
  4. Step 4: Simplify right side
    417.58x = 145,174.96
  5. Step 5: Solve for x
    x = 145,174.96/417.58
  6. Step 6: Final answer
    x = 347.66

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Why These Related Problems?

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