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Finding the Fourth Proportional to 417.20, 575.44 and 286.52

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Solution

The fourth proportional to 417.20, 575.44 and 286.52 is: 395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.20 : 575.44 = 286.52 : x
  2. Step 2: Convert to fraction form
    417.20/575.44 = 286.52/x
  3. Step 3: Cross multiply
    417.20x = 575.44 × 286.52
  4. Step 4: Simplify right side
    417.20x = 164,871.48
  5. Step 5: Solve for x
    x = 164,871.48/417.20
  6. Step 6: Final answer
    x = 395.19

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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.