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Finding the Fourth Proportional to 567, 782.16 and 380.17

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Solution

The fourth proportional to 567, 782.16 and 380.17 is: 524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    567 : 782.16 = 380.17 : x
  2. Step 2: Convert to fraction form
    567/782.16 = 380.17/x
  3. Step 3: Cross multiply
    567x = 782.16 × 380.17
  4. Step 4: Simplify right side
    567x = 297,351.12
  5. Step 5: Solve for x
    x = 297,351.12/567
  6. Step 6: Final answer
    x = 524.43

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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.