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Finding the Fourth Proportional to 284.40, 424.26 and 259.92

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Solution

The fourth proportional to 284.40, 424.26 and 259.92 is: 387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.40 : 424.26 = 259.92 : x
  2. Step 2: Convert to fraction form
    284.40/424.26 = 259.92/x
  3. Step 3: Cross multiply
    284.40x = 424.26 × 259.92
  4. Step 4: Simplify right side
    284.40x = 110,273.66
  5. Step 5: Solve for x
    x = 110,273.66/284.40
  6. Step 6: Final answer
    x = 387.74

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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.