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Finding the Fourth Proportional to 404.06, 557.58 and 238.24

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Solution

The fourth proportional to 404.06, 557.58 and 238.24 is: 328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.06 : 557.58 = 238.24 : x
  2. Step 2: Convert to fraction form
    404.06/557.58 = 238.24/x
  3. Step 3: Cross multiply
    404.06x = 557.58 × 238.24
  4. Step 4: Simplify right side
    404.06x = 132,836.47
  5. Step 5: Solve for x
    x = 132,836.47/404.06
  6. Step 6: Final answer
    x = 328.75

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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.