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Finding the Fourth Proportional to 284.09, 424.05 and 263.76

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Solution

The fourth proportional to 284.09, 424.05 and 263.76 is: 393.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.09 : 424.05 = 263.76 : x
  2. Step 2: Convert to fraction form
    284.09/424.05 = 263.76/x
  3. Step 3: Cross multiply
    284.09x = 424.05 × 263.76
  4. Step 4: Simplify right side
    284.09x = 111,844.85
  5. Step 5: Solve for x
    x = 111,844.85/284.09
  6. Step 6: Final answer
    x = 393.70

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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.