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Finding the Fourth Proportional to 284.46, 426.70 and 79.02

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Solution

The fourth proportional to 284.46, 426.70 and 79.02 is: 118.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.46 : 426.70 = 79.02 : x
  2. Step 2: Convert to fraction form
    284.46/426.70 = 79.02/x
  3. Step 3: Cross multiply
    284.46x = 426.70 × 79.02
  4. Step 4: Simplify right side
    284.46x = 33,717.83
  5. Step 5: Solve for x
    x = 33,717.83/284.46
  6. Step 6: Final answer
    x = 118.53

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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.