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Finding the Fourth Proportional to 558.16, 769.16 and 410.54

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Solution

The fourth proportional to 558.16, 769.16 and 410.54 is: 565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.16 : 769.16 = 410.54 : x
  2. Step 2: Convert to fraction form
    558.16/769.16 = 410.54/x
  3. Step 3: Cross multiply
    558.16x = 769.16 × 410.54
  4. Step 4: Simplify right side
    558.16x = 315,768.13
  5. Step 5: Solve for x
    x = 315,768.13/558.16
  6. Step 6: Final answer
    x = 565.73

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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.