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Finding the Fourth Proportional to 404.42, 558.10 and 229.76

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Solution

The fourth proportional to 404.42, 558.10 and 229.76 is: 317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.42 : 558.10 = 229.76 : x
  2. Step 2: Convert to fraction form
    404.42/558.10 = 229.76/x
  3. Step 3: Cross multiply
    404.42x = 558.10 × 229.76
  4. Step 4: Simplify right side
    404.42x = 128,229.06
  5. Step 5: Solve for x
    x = 128,229.06/404.42
  6. Step 6: Final answer
    x = 317.07

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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.