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Finding the Fourth Proportional to 302.49, 456.28 and 292.77

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Solution

The fourth proportional to 302.49, 456.28 and 292.77 is: 441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.49 : 456.28 = 292.77 : x
  2. Step 2: Convert to fraction form
    302.49/456.28 = 292.77/x
  3. Step 3: Cross multiply
    302.49x = 456.28 × 292.77
  4. Step 4: Simplify right side
    302.49x = 133,584.36
  5. Step 5: Solve for x
    x = 133,584.36/302.49
  6. Step 6: Final answer
    x = 441.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.