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Finding the Fourth Proportional to 403.68, 557.16 and 263.92

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Solution

The fourth proportional to 403.68, 557.16 and 263.92 is: 364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.68 : 557.16 = 263.92 : x
  2. Step 2: Convert to fraction form
    403.68/557.16 = 263.92/x
  3. Step 3: Cross multiply
    403.68x = 557.16 × 263.92
  4. Step 4: Simplify right side
    403.68x = 147,046.04
  5. Step 5: Solve for x
    x = 147,046.04/403.68
  6. Step 6: Final answer
    x = 364.26

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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.