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Finding the Fourth Proportional to 710.23, 1,063.81 and 344.25

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Solution

The fourth proportional to 710.23, 1,063.81 and 344.25 is: 515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.23 : 1,063.81 = 344.25 : x
  2. Step 2: Convert to fraction form
    710.23/1,063.81 = 344.25/x
  3. Step 3: Cross multiply
    710.23x = 1,063.81 × 344.25
  4. Step 4: Simplify right side
    710.23x = 366,215.09
  5. Step 5: Solve for x
    x = 366,215.09/710.23
  6. Step 6: Final answer
    x = 515.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.