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Finding the Fourth Proportional to 404.24, 557.84 and 238.40

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Solution

The fourth proportional to 404.24, 557.84 and 238.40 is: 328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.24 : 557.84 = 238.40 : x
  2. Step 2: Convert to fraction form
    404.24/557.84 = 238.40/x
  3. Step 3: Cross multiply
    404.24x = 557.84 × 238.40
  4. Step 4: Simplify right side
    404.24x = 132,989.06
  5. Step 5: Solve for x
    x = 132,989.06/404.24
  6. Step 6: Final answer
    x = 328.99

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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.