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Finding the Fourth Proportional to 417.02, 575.44 and 230.49

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Solution

The fourth proportional to 417.02, 575.44 and 230.49 is: 318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.02 : 575.44 = 230.49 : x
  2. Step 2: Convert to fraction form
    417.02/575.44 = 230.49/x
  3. Step 3: Cross multiply
    417.02x = 575.44 × 230.49
  4. Step 4: Simplify right side
    417.02x = 132,633.17
  5. Step 5: Solve for x
    x = 132,633.17/417.02
  6. Step 6: Final answer
    x = 318.05

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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.