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Finding the Fourth Proportional to 567, 782.82 and 412.02

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Solution

The fourth proportional to 567, 782.82 and 412.02 is: 568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    567 : 782.82 = 412.02 : x
  2. Step 2: Convert to fraction form
    567/782.82 = 412.02/x
  3. Step 3: Cross multiply
    567x = 782.82 × 412.02
  4. Step 4: Simplify right side
    567x = 322,537.50
  5. Step 5: Solve for x
    x = 322,537.50/567
  6. Step 6: Final answer
    x = 568.85

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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.