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Finding the Fourth Proportional to 567.25, 782.69 and 343.12

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Solution

The fourth proportional to 567.25, 782.69 and 343.12 is: 473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.25 : 782.69 = 343.12 : x
  2. Step 2: Convert to fraction form
    567.25/782.69 = 343.12/x
  3. Step 3: Cross multiply
    567.25x = 782.69 × 343.12
  4. Step 4: Simplify right side
    567.25x = 268,558.66
  5. Step 5: Solve for x
    x = 268,558.66/567.25
  6. Step 6: Final answer
    x = 473.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.