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Finding the Fourth Proportional to 577.18, 865.86 and 433.84

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Solution

The fourth proportional to 577.18, 865.86 and 433.84 is: 650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.18 : 865.86 = 433.84 : x
  2. Step 2: Convert to fraction form
    577.18/865.86 = 433.84/x
  3. Step 3: Cross multiply
    577.18x = 865.86 × 433.84
  4. Step 4: Simplify right side
    577.18x = 375,644.70
  5. Step 5: Solve for x
    x = 375,644.70/577.18
  6. Step 6: Final answer
    x = 650.83

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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.