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Finding the Fourth Proportional to 465.33, 638.34 and 437.39

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Solution

The fourth proportional to 465.33, 638.34 and 437.39 is: 600.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.33 : 638.34 = 437.39 : x
  2. Step 2: Convert to fraction form
    465.33/638.34 = 437.39/x
  3. Step 3: Cross multiply
    465.33x = 638.34 × 437.39
  4. Step 4: Simplify right side
    465.33x = 279,200.34
  5. Step 5: Solve for x
    x = 279,200.34/465.33
  6. Step 6: Final answer
    x = 600.01

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.