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Finding the Fourth Proportional to 513.60, 708.16 and 397.60

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Solution

The fourth proportional to 513.60, 708.16 and 397.60 is: 548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.60 : 708.16 = 397.60 : x
  2. Step 2: Convert to fraction form
    513.60/708.16 = 397.60/x
  3. Step 3: Cross multiply
    513.60x = 708.16 × 397.60
  4. Step 4: Simplify right side
    513.60x = 281,564.42
  5. Step 5: Solve for x
    x = 281,564.42/513.60
  6. Step 6: Final answer
    x = 548.22

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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.