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Finding the Fourth Proportional to 567, 782.14 and 401.97

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Solution

The fourth proportional to 567, 782.14 and 401.97 is: 554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    567 : 782.14 = 401.97 : x
  2. Step 2: Convert to fraction form
    567/782.14 = 401.97/x
  3. Step 3: Cross multiply
    567x = 782.14 × 401.97
  4. Step 4: Simplify right side
    567x = 314,396.82
  5. Step 5: Solve for x
    x = 314,396.82/567
  6. Step 6: Final answer
    x = 554.49

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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.