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Finding the Fourth Proportional to 417.14, 575.64 and 230.63

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Solution

The fourth proportional to 417.14, 575.64 and 230.63 is: 318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.14 : 575.64 = 230.63 : x
  2. Step 2: Convert to fraction form
    417.14/575.64 = 230.63/x
  3. Step 3: Cross multiply
    417.14x = 575.64 × 230.63
  4. Step 4: Simplify right side
    417.14x = 132,756.98
  5. Step 5: Solve for x
    x = 132,756.98/417.14
  6. Step 6: Final answer
    x = 318.25

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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.