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Finding the Fourth Proportional to 575.46, 862.44 and 438

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Solution

The fourth proportional to 575.46, 862.44 and 438 is: 656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.46 : 862.44 = 438 : x
  2. Step 2: Convert to fraction form
    575.46/862.44 = 438/x
  3. Step 3: Cross multiply
    575.46x = 862.44 × 438
  4. Step 4: Simplify right side
    575.46x = 377,748.72
  5. Step 5: Solve for x
    x = 377,748.72/575.46
  6. Step 6: Final answer
    x = 656.43

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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.