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Finding the Fourth Proportional to 284.37, 424.80 and 240.83

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Solution

The fourth proportional to 284.37, 424.80 and 240.83 is: 359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.37 : 424.80 = 240.83 : x
  2. Step 2: Convert to fraction form
    284.37/424.80 = 240.83/x
  3. Step 3: Cross multiply
    284.37x = 424.80 × 240.83
  4. Step 4: Simplify right side
    284.37x = 102,305.65
  5. Step 5: Solve for x
    x = 102,305.65/284.37
  6. Step 6: Final answer
    x = 359.76

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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.