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Finding the Fourth Proportional to 715.25, 1,072.74 and 228.41

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Solution

The fourth proportional to 715.25, 1,072.74 and 228.41 is: 342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.25 : 1,072.74 = 228.41 : x
  2. Step 2: Convert to fraction form
    715.25/1,072.74 = 228.41/x
  3. Step 3: Cross multiply
    715.25x = 1,072.74 × 228.41
  4. Step 4: Simplify right side
    715.25x = 245,019.18
  5. Step 5: Solve for x
    x = 245,019.18/715.25
  6. Step 6: Final answer
    x = 342.57

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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.