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Finding the Fourth Proportional to 574.10, 792.26 and 312.12

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Solution

The fourth proportional to 574.10, 792.26 and 312.12 is: 430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.10 : 792.26 = 312.12 : x
  2. Step 2: Convert to fraction form
    574.10/792.26 = 312.12/x
  3. Step 3: Cross multiply
    574.10x = 792.26 × 312.12
  4. Step 4: Simplify right side
    574.10x = 247,280.19
  5. Step 5: Solve for x
    x = 247,280.19/574.10
  6. Step 6: Final answer
    x = 430.73

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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.