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Finding the Fourth Proportional to 423.09, 583.24 and 363.82

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Solution

The fourth proportional to 423.09, 583.24 and 363.82 is: 501.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.09 : 583.24 = 363.82 : x
  2. Step 2: Convert to fraction form
    423.09/583.24 = 363.82/x
  3. Step 3: Cross multiply
    423.09x = 583.24 × 363.82
  4. Step 4: Simplify right side
    423.09x = 212,191.63
  5. Step 5: Solve for x
    x = 212,191.63/423.09
  6. Step 6: Final answer
    x = 501.53

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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.