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Finding the Fourth Proportional to 284.28, 424.53 and 230.04

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Solution

The fourth proportional to 284.28, 424.53 and 230.04 is: 343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.28 : 424.53 = 230.04 : x
  2. Step 2: Convert to fraction form
    284.28/424.53 = 230.04/x
  3. Step 3: Cross multiply
    284.28x = 424.53 × 230.04
  4. Step 4: Simplify right side
    284.28x = 97,658.88
  5. Step 5: Solve for x
    x = 97,658.88/284.28
  6. Step 6: Final answer
    x = 343.53

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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.