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Finding the Fourth Proportional to 473.11, 653.52 and 363.94

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Solution

The fourth proportional to 473.11, 653.52 and 363.94 is: 502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.11 : 653.52 = 363.94 : x
  2. Step 2: Convert to fraction form
    473.11/653.52 = 363.94/x
  3. Step 3: Cross multiply
    473.11x = 653.52 × 363.94
  4. Step 4: Simplify right side
    473.11x = 237,842.07
  5. Step 5: Solve for x
    x = 237,842.07/473.11
  6. Step 6: Final answer
    x = 502.72

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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.