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Finding the Fourth Proportional to 573.77, 861.16 and 314.01

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Solution

The fourth proportional to 573.77, 861.16 and 314.01 is: 471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.77 : 861.16 = 314.01 : x
  2. Step 2: Convert to fraction form
    573.77/861.16 = 314.01/x
  3. Step 3: Cross multiply
    573.77x = 861.16 × 314.01
  4. Step 4: Simplify right side
    573.77x = 270,412.85
  5. Step 5: Solve for x
    x = 270,412.85/573.77
  6. Step 6: Final answer
    x = 471.29

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Why These Related Problems?

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