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Finding the Fourth Proportional to 557.81, 769.47 and 361.52

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Solution

The fourth proportional to 557.81, 769.47 and 361.52 is: 498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.81 : 769.47 = 361.52 : x
  2. Step 2: Convert to fraction form
    557.81/769.47 = 361.52/x
  3. Step 3: Cross multiply
    557.81x = 769.47 × 361.52
  4. Step 4: Simplify right side
    557.81x = 278,178.79
  5. Step 5: Solve for x
    x = 278,178.79/557.81
  6. Step 6: Final answer
    x = 498.70

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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.