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Finding the Fourth Proportional to 574.64, 793.08 and 341.78

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Solution

The fourth proportional to 574.64, 793.08 and 341.78 is: 471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.64 : 793.08 = 341.78 : x
  2. Step 2: Convert to fraction form
    574.64/793.08 = 341.78/x
  3. Step 3: Cross multiply
    574.64x = 793.08 × 341.78
  4. Step 4: Simplify right side
    574.64x = 271,058.88
  5. Step 5: Solve for x
    x = 271,058.88/574.64
  6. Step 6: Final answer
    x = 471.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.