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Finding the Fourth Proportional to 577.32, 865.98 and 441.24

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Solution

The fourth proportional to 577.32, 865.98 and 441.24 is: 661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.32 : 865.98 = 441.24 : x
  2. Step 2: Convert to fraction form
    577.32/865.98 = 441.24/x
  3. Step 3: Cross multiply
    577.32x = 865.98 × 441.24
  4. Step 4: Simplify right side
    577.32x = 382,105.02
  5. Step 5: Solve for x
    x = 382,105.02/577.32
  6. Step 6: Final answer
    x = 661.86

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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.