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Finding the Fourth Proportional to 417.17, 575.37 and 286.16

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Solution

The fourth proportional to 417.17, 575.37 and 286.16 is: 394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.17 : 575.37 = 286.16 : x
  2. Step 2: Convert to fraction form
    417.17/575.37 = 286.16/x
  3. Step 3: Cross multiply
    417.17x = 575.37 × 286.16
  4. Step 4: Simplify right side
    417.17x = 164,647.88
  5. Step 5: Solve for x
    x = 164,647.88/417.17
  6. Step 6: Final answer
    x = 394.68

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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.