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Finding the Fourth Proportional to 407.89, 562.84 and 230.84

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Solution

The fourth proportional to 407.89, 562.84 and 230.84 is: 318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.89 : 562.84 = 230.84 : x
  2. Step 2: Convert to fraction form
    407.89/562.84 = 230.84/x
  3. Step 3: Cross multiply
    407.89x = 562.84 × 230.84
  4. Step 4: Simplify right side
    407.89x = 129,923.17
  5. Step 5: Solve for x
    x = 129,923.17/407.89
  6. Step 6: Final answer
    x = 318.53

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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.