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Finding the Fourth Proportional to 557.85, 769.80 and 361.47

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Solution

The fourth proportional to 557.85, 769.80 and 361.47 is: 498.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.85 : 769.80 = 361.47 : x
  2. Step 2: Convert to fraction form
    557.85/769.80 = 361.47/x
  3. Step 3: Cross multiply
    557.85x = 769.80 × 361.47
  4. Step 4: Simplify right side
    557.85x = 278,259.61
  5. Step 5: Solve for x
    x = 278,259.61/557.85
  6. Step 6: Final answer
    x = 498.81

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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.