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Finding the Fourth Proportional to 557.46, 769.28 and 361.08

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Solution

The fourth proportional to 557.46, 769.28 and 361.08 is: 498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.46 : 769.28 = 361.08 : x
  2. Step 2: Convert to fraction form
    557.46/769.28 = 361.08/x
  3. Step 3: Cross multiply
    557.46x = 769.28 × 361.08
  4. Step 4: Simplify right side
    557.46x = 277,769.82
  5. Step 5: Solve for x
    x = 277,769.82/557.46
  6. Step 6: Final answer
    x = 498.28

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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.