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Finding the Fourth Proportional to 348.48, 523.80 and 284.76

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Solution

The fourth proportional to 348.48, 523.80 and 284.76 is: 428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.48 : 523.80 = 284.76 : x
  2. Step 2: Convert to fraction form
    348.48/523.80 = 284.76/x
  3. Step 3: Cross multiply
    348.48x = 523.80 × 284.76
  4. Step 4: Simplify right side
    348.48x = 149,157.29
  5. Step 5: Solve for x
    x = 149,157.29/348.48
  6. Step 6: Final answer
    x = 428.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.