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Finding the Fourth Proportional to 558.72, 835.20 and 460.80

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Solution

The fourth proportional to 558.72, 835.20 and 460.80 is: 688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.72 : 835.20 = 460.80 : x
  2. Step 2: Convert to fraction form
    558.72/835.20 = 460.80/x
  3. Step 3: Cross multiply
    558.72x = 835.20 × 460.80
  4. Step 4: Simplify right side
    558.72x = 384,860.16
  5. Step 5: Solve for x
    x = 384,860.16/558.72
  6. Step 6: Final answer
    x = 688.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.