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Finding the Fourth Proportional to 574.16, 792.35 and 312.19

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Solution

The fourth proportional to 574.16, 792.35 and 312.19 is: 430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.16 : 792.35 = 312.19 : x
  2. Step 2: Convert to fraction form
    574.16/792.35 = 312.19/x
  3. Step 3: Cross multiply
    574.16x = 792.35 × 312.19
  4. Step 4: Simplify right side
    574.16x = 247,363.54
  5. Step 5: Solve for x
    x = 247,363.54/574.16
  6. Step 6: Final answer
    x = 430.83

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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.