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Finding the Fourth Proportional to 560.80, 771.78 and 461.80

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Solution

The fourth proportional to 560.80, 771.78 and 461.80 is: 635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.80 : 771.78 = 461.80 : x
  2. Step 2: Convert to fraction form
    560.80/771.78 = 461.80/x
  3. Step 3: Cross multiply
    560.80x = 771.78 × 461.80
  4. Step 4: Simplify right side
    560.80x = 356,408.00
  5. Step 5: Solve for x
    x = 356,408.00/560.80
  6. Step 6: Final answer
    x = 635.53

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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.