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Finding the Fourth Proportional to 576.48, 865.19 and 302.74

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Solution

The fourth proportional to 576.48, 865.19 and 302.74 is: 454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.48 : 865.19 = 302.74 : x
  2. Step 2: Convert to fraction form
    576.48/865.19 = 302.74/x
  3. Step 3: Cross multiply
    576.48x = 865.19 × 302.74
  4. Step 4: Simplify right side
    576.48x = 261,921.78
  5. Step 5: Solve for x
    x = 261,921.78/576.48
  6. Step 6: Final answer
    x = 454.35

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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.