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Finding the Fourth Proportional to 514.44, 710.06 and 348.93

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Solution

The fourth proportional to 514.44, 710.06 and 348.93 is: 481.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.44 : 710.06 = 348.93 : x
  2. Step 2: Convert to fraction form
    514.44/710.06 = 348.93/x
  3. Step 3: Cross multiply
    514.44x = 710.06 × 348.93
  4. Step 4: Simplify right side
    514.44x = 247,759.49
  5. Step 5: Solve for x
    x = 247,759.49/514.44
  6. Step 6: Final answer
    x = 481.61

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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.