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Finding the Fourth Proportional to 715.62, 1,071.96 and 350.76

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Solution

The fourth proportional to 715.62, 1,071.96 and 350.76 is: 525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.62 : 1,071.96 = 350.76 : x
  2. Step 2: Convert to fraction form
    715.62/1,071.96 = 350.76/x
  3. Step 3: Cross multiply
    715.62x = 1,071.96 × 350.76
  4. Step 4: Simplify right side
    715.62x = 376,000.69
  5. Step 5: Solve for x
    x = 376,000.69/715.62
  6. Step 6: Final answer
    x = 525.42

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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.