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Finding the Fourth Proportional to 615.48, 849.47 and 366.95

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Solution

The fourth proportional to 615.48, 849.47 and 366.95 is: 506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.48 : 849.47 = 366.95 : x
  2. Step 2: Convert to fraction form
    615.48/849.47 = 366.95/x
  3. Step 3: Cross multiply
    615.48x = 849.47 × 366.95
  4. Step 4: Simplify right side
    615.48x = 311,706.93
  5. Step 5: Solve for x
    x = 311,706.93/615.48
  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.