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Finding the Fourth Proportional to 284.80, 424.31 and 271

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Solution

The fourth proportional to 284.80, 424.31 and 271 is: 403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.80 : 424.31 = 271 : x
  2. Step 2: Convert to fraction form
    284.80/424.31 = 271/x
  3. Step 3: Cross multiply
    284.80x = 424.31 × 271
  4. Step 4: Simplify right side
    284.80x = 114,988.01
  5. Step 5: Solve for x
    x = 114,988.01/284.80
  6. Step 6: Final answer
    x = 403.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.