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Finding the Fourth Proportional to 576.72, 793.80 and 514.08

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Solution

The fourth proportional to 576.72, 793.80 and 514.08 is: 707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.72 : 793.80 = 514.08 : x
  2. Step 2: Convert to fraction form
    576.72/793.80 = 514.08/x
  3. Step 3: Cross multiply
    576.72x = 793.80 × 514.08
  4. Step 4: Simplify right side
    576.72x = 408,076.70
  5. Step 5: Solve for x
    x = 408,076.70/576.72
  6. Step 6: Final answer
    x = 707.58

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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.