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Finding the Fourth Proportional to 574.14, 792.32 and 312.16

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Solution

The fourth proportional to 574.14, 792.32 and 312.16 is: 430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.14 : 792.32 = 312.16 : x
  2. Step 2: Convert to fraction form
    574.14/792.32 = 312.16/x
  3. Step 3: Cross multiply
    574.14x = 792.32 × 312.16
  4. Step 4: Simplify right side
    574.14x = 247,327.07
  5. Step 5: Solve for x
    x = 247,327.07/574.14
  6. Step 6: Final answer
    x = 430.78

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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.