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Finding the Fourth Proportional to 437.84, 604.08 and 263.12

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Solution

The fourth proportional to 437.84, 604.08 and 263.12 is: 363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.84 : 604.08 = 263.12 : x
  2. Step 2: Convert to fraction form
    437.84/604.08 = 263.12/x
  3. Step 3: Cross multiply
    437.84x = 604.08 × 263.12
  4. Step 4: Simplify right side
    437.84x = 158,945.53
  5. Step 5: Solve for x
    x = 158,945.53/437.84
  6. Step 6: Final answer
    x = 363.02

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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.