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Finding the Fourth Proportional to 576.68, 865.27 and 302.71

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Solution

The fourth proportional to 576.68, 865.27 and 302.71 is: 454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.68 : 865.27 = 302.71 : x
  2. Step 2: Convert to fraction form
    576.68/865.27 = 302.71/x
  3. Step 3: Cross multiply
    576.68x = 865.27 × 302.71
  4. Step 4: Simplify right side
    576.68x = 261,925.35
  5. Step 5: Solve for x
    x = 261,925.35/576.68
  6. Step 6: Final answer
    x = 454.20

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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.