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Finding the Fourth Proportional to 285.68, 394.62 and 256.52

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Solution

The fourth proportional to 285.68, 394.62 and 256.52 is: 354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.68 : 394.62 = 256.52 : x
  2. Step 2: Convert to fraction form
    285.68/394.62 = 256.52/x
  3. Step 3: Cross multiply
    285.68x = 394.62 × 256.52
  4. Step 4: Simplify right side
    285.68x = 101,227.92
  5. Step 5: Solve for x
    x = 101,227.92/285.68
  6. Step 6: Final answer
    x = 354.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.