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Finding the Fourth Proportional to 615.62, 849.50 and 367.02

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Solution

The fourth proportional to 615.62, 849.50 and 367.02 is: 506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.62 : 849.50 = 367.02 : x
  2. Step 2: Convert to fraction form
    615.62/849.50 = 367.02/x
  3. Step 3: Cross multiply
    615.62x = 849.50 × 367.02
  4. Step 4: Simplify right side
    615.62x = 311,783.49
  5. Step 5: Solve for x
    x = 311,783.49/615.62
  6. Step 6: Final answer
    x = 506.45

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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.