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Finding the Fourth Proportional to 431.01, 645.66 and 284.85

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Solution

The fourth proportional to 431.01, 645.66 and 284.85 is: 426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.01 : 645.66 = 284.85 : x
  2. Step 2: Convert to fraction form
    431.01/645.66 = 284.85/x
  3. Step 3: Cross multiply
    431.01x = 645.66 × 284.85
  4. Step 4: Simplify right side
    431.01x = 183,916.25
  5. Step 5: Solve for x
    x = 183,916.25/431.01
  6. Step 6: Final answer
    x = 426.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.