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Finding the Fourth Proportional to 407.14, 561.82 and 230.12

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Solution

The fourth proportional to 407.14, 561.82 and 230.12 is: 317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.14 : 561.82 = 230.12 : x
  2. Step 2: Convert to fraction form
    407.14/561.82 = 230.12/x
  3. Step 3: Cross multiply
    407.14x = 561.82 × 230.12
  4. Step 4: Simplify right side
    407.14x = 129,286.02
  5. Step 5: Solve for x
    x = 129,286.02/407.14
  6. Step 6: Final answer
    x = 317.55

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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.