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Finding the Fourth Proportional to 574.61, 792.98 and 341.75

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Solution

The fourth proportional to 574.61, 792.98 and 341.75 is: 471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.61 : 792.98 = 341.75 : x
  2. Step 2: Convert to fraction form
    574.61/792.98 = 341.75/x
  3. Step 3: Cross multiply
    574.61x = 792.98 × 341.75
  4. Step 4: Simplify right side
    574.61x = 271,000.92
  5. Step 5: Solve for x
    x = 271,000.92/574.61
  6. Step 6: Final answer
    x = 471.63

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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.