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Finding the Fourth Proportional to 576.42, 795.42 and 314.42

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Solution

The fourth proportional to 576.42, 795.42 and 314.42 is: 433.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.42 : 795.42 = 314.42 : x
  2. Step 2: Convert to fraction form
    576.42/795.42 = 314.42/x
  3. Step 3: Cross multiply
    576.42x = 795.42 × 314.42
  4. Step 4: Simplify right side
    576.42x = 250,095.96
  5. Step 5: Solve for x
    x = 250,095.96/576.42
  6. Step 6: Final answer
    x = 433.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.