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Finding the Fourth Proportional to 615.93, 849.97 and 367.16

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Solution

The fourth proportional to 615.93, 849.97 and 367.16 is: 506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.93 : 849.97 = 367.16 : x
  2. Step 2: Convert to fraction form
    615.93/849.97 = 367.16/x
  3. Step 3: Cross multiply
    615.93x = 849.97 × 367.16
  4. Step 4: Simplify right side
    615.93x = 312,072.55
  5. Step 5: Solve for x
    x = 312,072.55/615.93
  6. Step 6: Final answer
    x = 506.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.