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Finding the Fourth Proportional to 363.89, 501.64 and 314.01

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Solution

The fourth proportional to 363.89, 501.64 and 314.01 is: 432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.89 : 501.64 = 314.01 : x
  2. Step 2: Convert to fraction form
    363.89/501.64 = 314.01/x
  3. Step 3: Cross multiply
    363.89x = 501.64 × 314.01
  4. Step 4: Simplify right side
    363.89x = 157,519.19
  5. Step 5: Solve for x
    x = 157,519.19/363.89
  6. Step 6: Final answer
    x = 432.87

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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.