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Finding the Fourth Proportional to 567.60, 782.82 and 334.50

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Solution

The fourth proportional to 567.60, 782.82 and 334.50 is: 461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.60 : 782.82 = 334.50 : x
  2. Step 2: Convert to fraction form
    567.60/782.82 = 334.50/x
  3. Step 3: Cross multiply
    567.60x = 782.82 × 334.50
  4. Step 4: Simplify right side
    567.60x = 261,853.29
  5. Step 5: Solve for x
    x = 261,853.29/567.60
  6. Step 6: Final answer
    x = 461.33

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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.