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Finding the Fourth Proportional to 574.39, 792.66 and 312.41

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Solution

The fourth proportional to 574.39, 792.66 and 312.41 is: 431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.39 : 792.66 = 312.41 : x
  2. Step 2: Convert to fraction form
    574.39/792.66 = 312.41/x
  3. Step 3: Cross multiply
    574.39x = 792.66 × 312.41
  4. Step 4: Simplify right side
    574.39x = 247,638.06
  5. Step 5: Solve for x
    x = 247,638.06/574.39
  6. Step 6: Final answer
    x = 431.13

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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.