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Finding the Fourth Proportional to 297.77, 409.59 and 263.93

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Solution

The fourth proportional to 297.77, 409.59 and 263.93 is: 363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.77 : 409.59 = 263.93 : x
  2. Step 2: Convert to fraction form
    297.77/409.59 = 263.93/x
  3. Step 3: Cross multiply
    297.77x = 409.59 × 263.93
  4. Step 4: Simplify right side
    297.77x = 108,101.04
  5. Step 5: Solve for x
    x = 108,101.04/297.77
  6. Step 6: Final answer
    x = 363.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.