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Finding the Fourth Proportional to 446.13, 614.88 and 363.06

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Solution

The fourth proportional to 446.13, 614.88 and 363.06 is: 500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.13 : 614.88 = 363.06 : x
  2. Step 2: Convert to fraction form
    446.13/614.88 = 363.06/x
  3. Step 3: Cross multiply
    446.13x = 614.88 × 363.06
  4. Step 4: Simplify right side
    446.13x = 223,238.33
  5. Step 5: Solve for x
    x = 223,238.33/446.13
  6. Step 6: Final answer
    x = 500.39

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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.