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Finding the Fourth Proportional to 558.32, 769.48 and 392.20

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Solution

The fourth proportional to 558.32, 769.48 and 392.20 is: 540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.32 : 769.48 = 392.20 : x
  2. Step 2: Convert to fraction form
    558.32/769.48 = 392.20/x
  3. Step 3: Cross multiply
    558.32x = 769.48 × 392.20
  4. Step 4: Simplify right side
    558.32x = 301,790.06
  5. Step 5: Solve for x
    x = 301,790.06/558.32
  6. Step 6: Final answer
    x = 540.53

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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.