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Finding the Fourth Proportional to 513.54, 773.42 and 467.10

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Solution

The fourth proportional to 513.54, 773.42 and 467.10 is: 703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.54 : 773.42 = 467.10 : x
  2. Step 2: Convert to fraction form
    513.54/773.42 = 467.10/x
  3. Step 3: Cross multiply
    513.54x = 773.42 × 467.10
  4. Step 4: Simplify right side
    513.54x = 361,262.15
  5. Step 5: Solve for x
    x = 361,262.15/513.54
  6. Step 6: Final answer
    x = 703.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.