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Finding the Fourth Proportional to 417.38, 575.86 and 251.65

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Solution

The fourth proportional to 417.38, 575.86 and 251.65 is: 347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.38 : 575.86 = 251.65 : x
  2. Step 2: Convert to fraction form
    417.38/575.86 = 251.65/x
  3. Step 3: Cross multiply
    417.38x = 575.86 × 251.65
  4. Step 4: Simplify right side
    417.38x = 144,911.03
  5. Step 5: Solve for x
    x = 144,911.03/417.38
  6. Step 6: Final answer
    x = 347.19

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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.