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Finding the Fourth Proportional to 417.72, 575.82 and 286.32

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Solution

The fourth proportional to 417.72, 575.82 and 286.32 is: 394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.72 : 575.82 = 286.32 : x
  2. Step 2: Convert to fraction form
    417.72/575.82 = 286.32/x
  3. Step 3: Cross multiply
    417.72x = 575.82 × 286.32
  4. Step 4: Simplify right side
    417.72x = 164,868.78
  5. Step 5: Solve for x
    x = 164,868.78/417.72
  6. Step 6: Final answer
    x = 394.69

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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.