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Finding the Fourth Proportional to 363.47, 501.32 and 314.26

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Solution

The fourth proportional to 363.47, 501.32 and 314.26 is: 433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.47 : 501.32 = 314.26 : x
  2. Step 2: Convert to fraction form
    363.47/501.32 = 314.26/x
  3. Step 3: Cross multiply
    363.47x = 501.32 × 314.26
  4. Step 4: Simplify right side
    363.47x = 157,544.36
  5. Step 5: Solve for x
    x = 157,544.36/363.47
  6. Step 6: Final answer
    x = 433.45

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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.