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Finding the Fourth Proportional to 404.53, 558.26 and 229.88

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Solution

The fourth proportional to 404.53, 558.26 and 229.88 is: 317.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.53 : 558.26 = 229.88 : x
  2. Step 2: Convert to fraction form
    404.53/558.26 = 229.88/x
  3. Step 3: Cross multiply
    404.53x = 558.26 × 229.88
  4. Step 4: Simplify right side
    404.53x = 128,328.87
  5. Step 5: Solve for x
    x = 128,328.87/404.53
  6. Step 6: Final answer
    x = 317.23

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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.