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Finding the Fourth Proportional to 578.19, 861.72 and 577.29

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Solution

The fourth proportional to 578.19, 861.72 and 577.29 is: 860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.19 : 861.72 = 577.29 : x
  2. Step 2: Convert to fraction form
    578.19/861.72 = 577.29/x
  3. Step 3: Cross multiply
    578.19x = 861.72 × 577.29
  4. Step 4: Simplify right side
    578.19x = 497,462.34
  5. Step 5: Solve for x
    x = 497,462.34/578.19
  6. Step 6: Final answer
    x = 860.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.