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Finding the Fourth Proportional to 600.88, 829.28 and 563.80

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Solution

The fourth proportional to 600.88, 829.28 and 563.80 is: 778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.88 : 829.28 = 563.80 : x
  2. Step 2: Convert to fraction form
    600.88/829.28 = 563.80/x
  3. Step 3: Cross multiply
    600.88x = 829.28 × 563.80
  4. Step 4: Simplify right side
    600.88x = 467,548.06
  5. Step 5: Solve for x
    x = 467,548.06/600.88
  6. Step 6: Final answer
    x = 778.11

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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.