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Finding the Fourth Proportional to 417.56, 575.30 and 286.34

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Solution

The fourth proportional to 417.56, 575.30 and 286.34 is: 394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.56 : 575.30 = 286.34 : x
  2. Step 2: Convert to fraction form
    417.56/575.30 = 286.34/x
  3. Step 3: Cross multiply
    417.56x = 575.30 × 286.34
  4. Step 4: Simplify right side
    417.56x = 164,729.24
  5. Step 5: Solve for x
    x = 164,729.24/417.56
  6. Step 6: Final answer
    x = 394.51

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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.