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Finding the Fourth Proportional to 417.12, 575.60 and 230.64

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Solution

The fourth proportional to 417.12, 575.60 and 230.64 is: 318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.12 : 575.60 = 230.64 : x
  2. Step 2: Convert to fraction form
    417.12/575.60 = 230.64/x
  3. Step 3: Cross multiply
    417.12x = 575.60 × 230.64
  4. Step 4: Simplify right side
    417.12x = 132,756.38
  5. Step 5: Solve for x
    x = 132,756.38/417.12
  6. Step 6: Final answer
    x = 318.27

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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.