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Finding the Fourth Proportional to 576.75, 865.89 and 346.07

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Solution

The fourth proportional to 576.75, 865.89 and 346.07 is: 519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.75 : 865.89 = 346.07 : x
  2. Step 2: Convert to fraction form
    576.75/865.89 = 346.07/x
  3. Step 3: Cross multiply
    576.75x = 865.89 × 346.07
  4. Step 4: Simplify right side
    576.75x = 299,660.72
  5. Step 5: Solve for x
    x = 299,660.72/576.75
  6. Step 6: Final answer
    x = 519.57

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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.