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Finding the Fourth Proportional to 567.25, 782.85 and 334.42

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Solution

The fourth proportional to 567.25, 782.85 and 334.42 is: 461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.25 : 782.85 = 334.42 : x
  2. Step 2: Convert to fraction form
    567.25/782.85 = 334.42/x
  3. Step 3: Cross multiply
    567.25x = 782.85 × 334.42
  4. Step 4: Simplify right side
    567.25x = 261,800.70
  5. Step 5: Solve for x
    x = 261,800.70/567.25
  6. Step 6: Final answer
    x = 461.53

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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.