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Finding the Fourth Proportional to 284.29, 423.53 and 271.24

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Solution

The fourth proportional to 284.29, 423.53 and 271.24 is: 404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.29 : 423.53 = 271.24 : x
  2. Step 2: Convert to fraction form
    284.29/423.53 = 271.24/x
  3. Step 3: Cross multiply
    284.29x = 423.53 × 271.24
  4. Step 4: Simplify right side
    284.29x = 114,878.28
  5. Step 5: Solve for x
    x = 114,878.28/284.29
  6. Step 6: Final answer
    x = 404.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.