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Finding the Fourth Proportional to 558.55, 769.12 and 460.14

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Solution

The fourth proportional to 558.55, 769.12 and 460.14 is: 633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.55 : 769.12 = 460.14 : x
  2. Step 2: Convert to fraction form
    558.55/769.12 = 460.14/x
  3. Step 3: Cross multiply
    558.55x = 769.12 × 460.14
  4. Step 4: Simplify right side
    558.55x = 353,902.88
  5. Step 5: Solve for x
    x = 353,902.88/558.55
  6. Step 6: Final answer
    x = 633.61

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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.