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Finding the Fourth Proportional to 284.41, 424.34 and 276.08

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Solution

The fourth proportional to 284.41, 424.34 and 276.08 is: 411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.41 : 424.34 = 276.08 : x
  2. Step 2: Convert to fraction form
    284.41/424.34 = 276.08/x
  3. Step 3: Cross multiply
    284.41x = 424.34 × 276.08
  4. Step 4: Simplify right side
    284.41x = 117,152.90
  5. Step 5: Solve for x
    x = 117,152.90/284.41
  6. Step 6: Final answer
    x = 411.91

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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.