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Finding the Fourth Proportional to 557.28, 834.72 and 364.56

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Solution

The fourth proportional to 557.28, 834.72 and 364.56 is: 546.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.28 : 834.72 = 364.56 : x
  2. Step 2: Convert to fraction form
    557.28/834.72 = 364.56/x
  3. Step 3: Cross multiply
    557.28x = 834.72 × 364.56
  4. Step 4: Simplify right side
    557.28x = 304,305.52
  5. Step 5: Solve for x
    x = 304,305.52/557.28
  6. Step 6: Final answer
    x = 546.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.