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Finding the Fourth Proportional to 513.52, 708 and 419.20

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Solution

The fourth proportional to 513.52, 708 and 419.20 is: 577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.52 : 708 = 419.20 : x
  2. Step 2: Convert to fraction form
    513.52/708 = 419.20/x
  3. Step 3: Cross multiply
    513.52x = 708 × 419.20
  4. Step 4: Simplify right side
    513.52x = 296,793.60
  5. Step 5: Solve for x
    x = 296,793.60/513.52
  6. Step 6: Final answer
    x = 577.96

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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.