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Finding the Fourth Proportional to 576.42, 795.46 and 314.43

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Solution

The fourth proportional to 576.42, 795.46 and 314.43 is: 433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.42 : 795.46 = 314.43 : x
  2. Step 2: Convert to fraction form
    576.42/795.46 = 314.43/x
  3. Step 3: Cross multiply
    576.42x = 795.46 × 314.43
  4. Step 4: Simplify right side
    576.42x = 250,114.92
  5. Step 5: Solve for x
    x = 250,114.92/576.42
  6. Step 6: Final answer
    x = 433.91

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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.