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Finding the Fourth Proportional to 715.70, 1,071.73 and 349.53

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Solution

The fourth proportional to 715.70, 1,071.73 and 349.53 is: 523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.70 : 1,071.73 = 349.53 : x
  2. Step 2: Convert to fraction form
    715.70/1,071.73 = 349.53/x
  3. Step 3: Cross multiply
    715.70x = 1,071.73 × 349.53
  4. Step 4: Simplify right side
    715.70x = 374,604.47
  5. Step 5: Solve for x
    x = 374,604.47/715.70
  6. Step 6: Final answer
    x = 523.41

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