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Finding the Fourth Proportional to 715.20, 1,072.80 and 350.70

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Solution

The fourth proportional to 715.20, 1,072.80 and 350.70 is: 526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.20 : 1,072.80 = 350.70 : x
  2. Step 2: Convert to fraction form
    715.20/1,072.80 = 350.70/x
  3. Step 3: Cross multiply
    715.20x = 1,072.80 × 350.70
  4. Step 4: Simplify right side
    715.20x = 376,230.96
  5. Step 5: Solve for x
    x = 376,230.96/715.20
  6. Step 6: Final answer
    x = 526.05

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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.