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Finding the Fourth Proportional to 569.28, 849.44 and 517.02

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Solution

The fourth proportional to 569.28, 849.44 and 517.02 is: 771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.28 : 849.44 = 517.02 : x
  2. Step 2: Convert to fraction form
    569.28/849.44 = 517.02/x
  3. Step 3: Cross multiply
    569.28x = 849.44 × 517.02
  4. Step 4: Simplify right side
    569.28x = 439,177.47
  5. Step 5: Solve for x
    x = 439,177.47/569.28
  6. Step 6: Final answer
    x = 771.46

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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.