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Finding the Fourth Proportional to 363.64, 501.76 and 208.40

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Solution

The fourth proportional to 363.64, 501.76 and 208.40 is: 287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.64 : 501.76 = 208.40 : x
  2. Step 2: Convert to fraction form
    363.64/501.76 = 208.40/x
  3. Step 3: Cross multiply
    363.64x = 501.76 × 208.40
  4. Step 4: Simplify right side
    363.64x = 104,566.78
  5. Step 5: Solve for x
    x = 104,566.78/363.64
  6. Step 6: Final answer
    x = 287.56

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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.