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Finding the Fourth Proportional to 569.76, 849.90 and 515.04

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Solution

The fourth proportional to 569.76, 849.90 and 515.04 is: 768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.76 : 849.90 = 515.04 : x
  2. Step 2: Convert to fraction form
    569.76/849.90 = 515.04/x
  3. Step 3: Cross multiply
    569.76x = 849.90 × 515.04
  4. Step 4: Simplify right side
    569.76x = 437,732.50
  5. Step 5: Solve for x
    x = 437,732.50/569.76
  6. Step 6: Final answer
    x = 768.28

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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.