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Finding the Fourth Proportional to 576.40, 864.56 and 394.16

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Solution

The fourth proportional to 576.40, 864.56 and 394.16 is: 591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.40 : 864.56 = 394.16 : x
  2. Step 2: Convert to fraction form
    576.40/864.56 = 394.16/x
  3. Step 3: Cross multiply
    576.40x = 864.56 × 394.16
  4. Step 4: Simplify right side
    576.40x = 340,774.97
  5. Step 5: Solve for x
    x = 340,774.97/576.40
  6. Step 6: Final answer
    x = 591.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.