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Finding the Fourth Proportional to 404.30, 557.94 and 229.65

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Solution

The fourth proportional to 404.30, 557.94 and 229.65 is: 316.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.30 : 557.94 = 229.65 : x
  2. Step 2: Convert to fraction form
    404.30/557.94 = 229.65/x
  3. Step 3: Cross multiply
    404.30x = 557.94 × 229.65
  4. Step 4: Simplify right side
    404.30x = 128,130.92
  5. Step 5: Solve for x
    x = 128,130.92/404.30
  6. Step 6: Final answer
    x = 316.92

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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.