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Finding the Fourth Proportional to 285.04, 424.11 and 284.04

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Solution

The fourth proportional to 285.04, 424.11 and 284.04 is: 422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.04 : 424.11 = 284.04 : x
  2. Step 2: Convert to fraction form
    285.04/424.11 = 284.04/x
  3. Step 3: Cross multiply
    285.04x = 424.11 × 284.04
  4. Step 4: Simplify right side
    285.04x = 120,464.20
  5. Step 5: Solve for x
    x = 120,464.20/285.04
  6. Step 6: Final answer
    x = 422.62

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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.