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Finding the Fourth Proportional to 437.54, 602.24 and 363.02

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Solution

The fourth proportional to 437.54, 602.24 and 363.02 is: 499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.54 : 602.24 = 363.02 : x
  2. Step 2: Convert to fraction form
    437.54/602.24 = 363.02/x
  3. Step 3: Cross multiply
    437.54x = 602.24 × 363.02
  4. Step 4: Simplify right side
    437.54x = 218,625.16
  5. Step 5: Solve for x
    x = 218,625.16/437.54
  6. Step 6: Final answer
    x = 499.67

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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.