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Finding the Fourth Proportional to 404.40, 558.13 and 229.76

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Solution

The fourth proportional to 404.40, 558.13 and 229.76 is: 317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.40 : 558.13 = 229.76 : x
  2. Step 2: Convert to fraction form
    404.40/558.13 = 229.76/x
  3. Step 3: Cross multiply
    404.40x = 558.13 × 229.76
  4. Step 4: Simplify right side
    404.40x = 128,235.95
  5. Step 5: Solve for x
    x = 128,235.95/404.40
  6. Step 6: Final answer
    x = 317.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.