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Finding the Fourth Proportional to 577.12, 865.29 and 211.90

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Solution

The fourth proportional to 577.12, 865.29 and 211.90 is: 317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.12 : 865.29 = 211.90 : x
  2. Step 2: Convert to fraction form
    577.12/865.29 = 211.90/x
  3. Step 3: Cross multiply
    577.12x = 865.29 × 211.90
  4. Step 4: Simplify right side
    577.12x = 183,354.95
  5. Step 5: Solve for x
    x = 183,354.95/577.12
  6. Step 6: Final answer
    x = 317.71

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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.