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Finding the Fourth Proportional to 577.35, 865.22 and 432.90

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Solution

The fourth proportional to 577.35, 865.22 and 432.90 is: 648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.35 : 865.22 = 432.90 : x
  2. Step 2: Convert to fraction form
    577.35/865.22 = 432.90/x
  3. Step 3: Cross multiply
    577.35x = 865.22 × 432.90
  4. Step 4: Simplify right side
    577.35x = 374,551.57
  5. Step 5: Solve for x
    x = 374,551.57/577.35
  6. Step 6: Final answer
    x = 648.74

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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.