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Finding the Fourth Proportional to 575.57, 861.89 and 379.98

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Solution

The fourth proportional to 575.57, 861.89 and 379.98 is: 569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.57 : 861.89 = 379.98 : x
  2. Step 2: Convert to fraction form
    575.57/861.89 = 379.98/x
  3. Step 3: Cross multiply
    575.57x = 861.89 × 379.98
  4. Step 4: Simplify right side
    575.57x = 327,496.82
  5. Step 5: Solve for x
    x = 327,496.82/575.57
  6. Step 6: Final answer
    x = 569.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.