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Finding the Fourth Proportional to 302.28, 452.92 and 277.12

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Solution

The fourth proportional to 302.28, 452.92 and 277.12 is: 415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.28 : 452.92 = 277.12 : x
  2. Step 2: Convert to fraction form
    302.28/452.92 = 277.12/x
  3. Step 3: Cross multiply
    302.28x = 452.92 × 277.12
  4. Step 4: Simplify right side
    302.28x = 125,513.19
  5. Step 5: Solve for x
    x = 125,513.19/302.28
  6. Step 6: Final answer
    x = 415.22

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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.