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Finding the Fourth Proportional to 417.03, 575.43 and 230.49

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Solution

The fourth proportional to 417.03, 575.43 and 230.49 is: 318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.03 : 575.43 = 230.49 : x
  2. Step 2: Convert to fraction form
    417.03/575.43 = 230.49/x
  3. Step 3: Cross multiply
    417.03x = 575.43 × 230.49
  4. Step 4: Simplify right side
    417.03x = 132,630.86
  5. Step 5: Solve for x
    x = 132,630.86/417.03
  6. Step 6: Final answer
    x = 318.04

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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.