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Finding the Fourth Proportional to 715.33, 1,072.82 and 228.13

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Solution

The fourth proportional to 715.33, 1,072.82 and 228.13 is: 342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.33 : 1,072.82 = 228.13 : x
  2. Step 2: Convert to fraction form
    715.33/1,072.82 = 228.13/x
  3. Step 3: Cross multiply
    715.33x = 1,072.82 × 228.13
  4. Step 4: Simplify right side
    715.33x = 244,741.29
  5. Step 5: Solve for x
    x = 244,741.29/715.33
  6. Step 6: Final answer
    x = 342.14

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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.