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Finding the Fourth Proportional to 363.84, 502.80 and 290.40

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Solution

The fourth proportional to 363.84, 502.80 and 290.40 is: 401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.84 : 502.80 = 290.40 : x
  2. Step 2: Convert to fraction form
    363.84/502.80 = 290.40/x
  3. Step 3: Cross multiply
    363.84x = 502.80 × 290.40
  4. Step 4: Simplify right side
    363.84x = 146,013.12
  5. Step 5: Solve for x
    x = 146,013.12/363.84
  6. Step 6: Final answer
    x = 401.31

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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.