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Finding the Fourth Proportional to 417.24, 575.82 and 286.20

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Solution

The fourth proportional to 417.24, 575.82 and 286.20 is: 394.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.24 : 575.82 = 286.20 : x
  2. Step 2: Convert to fraction form
    417.24/575.82 = 286.20/x
  3. Step 3: Cross multiply
    417.24x = 575.82 × 286.20
  4. Step 4: Simplify right side
    417.24x = 164,799.68
  5. Step 5: Solve for x
    x = 164,799.68/417.24
  6. Step 6: Final answer
    x = 394.98

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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.