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Finding the Fourth Proportional to 407.86, 562.84 and 230.84

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Solution

The fourth proportional to 407.86, 562.84 and 230.84 is: 318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.86 : 562.84 = 230.84 : x
  2. Step 2: Convert to fraction form
    407.86/562.84 = 230.84/x
  3. Step 3: Cross multiply
    407.86x = 562.84 × 230.84
  4. Step 4: Simplify right side
    407.86x = 129,925.99
  5. Step 5: Solve for x
    x = 129,925.99/407.86
  6. Step 6: Final answer
    x = 318.56

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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.