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Finding the Fourth Proportional to 567.28, 782.96 and 334.56

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Solution

The fourth proportional to 567.28, 782.96 and 334.56 is: 461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.28 : 782.96 = 334.56 : x
  2. Step 2: Convert to fraction form
    567.28/782.96 = 334.56/x
  3. Step 3: Cross multiply
    567.28x = 782.96 × 334.56
  4. Step 4: Simplify right side
    567.28x = 261,947.10
  5. Step 5: Solve for x
    x = 261,947.10/567.28
  6. Step 6: Final answer
    x = 461.76

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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.