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Finding the Fourth Proportional to 513.88, 708.89 and 348.14

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Solution

The fourth proportional to 513.88, 708.89 and 348.14 is: 480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.88 : 708.89 = 348.14 : x
  2. Step 2: Convert to fraction form
    513.88/708.89 = 348.14/x
  3. Step 3: Cross multiply
    513.88x = 708.89 × 348.14
  4. Step 4: Simplify right side
    513.88x = 246,792.96
  5. Step 5: Solve for x
    x = 246,792.96/513.88
  6. Step 6: Final answer
    x = 480.25

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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.