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Finding the Fourth Proportional to 417.24, 575.28 and 286.08

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Solution

The fourth proportional to 417.24, 575.28 and 286.08 is: 394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.24 : 575.28 = 286.08 : x
  2. Step 2: Convert to fraction form
    417.24/575.28 = 286.08/x
  3. Step 3: Cross multiply
    417.24x = 575.28 × 286.08
  4. Step 4: Simplify right side
    417.24x = 164,576.10
  5. Step 5: Solve for x
    x = 164,576.10/417.24
  6. Step 6: Final answer
    x = 394.44

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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.