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Finding the Fourth Proportional to 577.10, 864.84 and 432.66

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Solution

The fourth proportional to 577.10, 864.84 and 432.66 is: 648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.10 : 864.84 = 432.66 : x
  2. Step 2: Convert to fraction form
    577.10/864.84 = 432.66/x
  3. Step 3: Cross multiply
    577.10x = 864.84 × 432.66
  4. Step 4: Simplify right side
    577.10x = 374,181.67
  5. Step 5: Solve for x
    x = 374,181.67/577.10
  6. Step 6: Final answer
    x = 648.38

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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.