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Finding the Fourth Proportional to 437.76, 604.14 and 263.10

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Solution

The fourth proportional to 437.76, 604.14 and 263.10 is: 363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.76 : 604.14 = 263.10 : x
  2. Step 2: Convert to fraction form
    437.76/604.14 = 263.10/x
  3. Step 3: Cross multiply
    437.76x = 604.14 × 263.10
  4. Step 4: Simplify right side
    437.76x = 158,949.23
  5. Step 5: Solve for x
    x = 158,949.23/437.76
  6. Step 6: Final answer
    x = 363.10

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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.