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Finding the Fourth Proportional to 558.42, 769.95 and 361.86

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Solution

The fourth proportional to 558.42, 769.95 and 361.86 is: 498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.42 : 769.95 = 361.86 : x
  2. Step 2: Convert to fraction form
    558.42/769.95 = 361.86/x
  3. Step 3: Cross multiply
    558.42x = 769.95 × 361.86
  4. Step 4: Simplify right side
    558.42x = 278,614.11
  5. Step 5: Solve for x
    x = 278,614.11/558.42
  6. Step 6: Final answer
    x = 498.93

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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.