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Finding the Fourth Proportional to 416.77, 575.14 and 230.27

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Solution

The fourth proportional to 416.77, 575.14 and 230.27 is: 317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.77 : 575.14 = 230.27 : x
  2. Step 2: Convert to fraction form
    416.77/575.14 = 230.27/x
  3. Step 3: Cross multiply
    416.77x = 575.14 × 230.27
  4. Step 4: Simplify right side
    416.77x = 132,437.49
  5. Step 5: Solve for x
    x = 132,437.49/416.77
  6. Step 6: Final answer
    x = 317.77

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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.