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Finding the Fourth Proportional to 710.09, 1,065.14 and 344.57

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Solution

The fourth proportional to 710.09, 1,065.14 and 344.57 is: 516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.09 : 1,065.14 = 344.57 : x
  2. Step 2: Convert to fraction form
    710.09/1,065.14 = 344.57/x
  3. Step 3: Cross multiply
    710.09x = 1,065.14 × 344.57
  4. Step 4: Simplify right side
    710.09x = 367,010.55
  5. Step 5: Solve for x
    x = 367,010.55/710.09
  6. Step 6: Final answer
    x = 516.85

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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.