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Finding the Fourth Proportional to 711, 1,065.06 and 344.70

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Solution

The fourth proportional to 711, 1,065.06 and 344.70 is: 516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    711 : 1,065.06 = 344.70 : x
  2. Step 2: Convert to fraction form
    711/1,065.06 = 344.70/x
  3. Step 3: Cross multiply
    711x = 1,065.06 × 344.70
  4. Step 4: Simplify right side
    711x = 367,126.18
  5. Step 5: Solve for x
    x = 367,126.18/711
  6. Step 6: Final answer
    x = 516.35

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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.