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Finding the Fourth Proportional to 302.49, 416.61 and 271.53

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Solution

The fourth proportional to 302.49, 416.61 and 271.53 is: 373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.49 : 416.61 = 271.53 : x
  2. Step 2: Convert to fraction form
    302.49/416.61 = 271.53/x
  3. Step 3: Cross multiply
    302.49x = 416.61 × 271.53
  4. Step 4: Simplify right side
    302.49x = 113,122.11
  5. Step 5: Solve for x
    x = 113,122.11/302.49
  6. Step 6: Final answer
    x = 373.97

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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.