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Finding the Fourth Proportional to 403.14, 556.04 and 263.04

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Solution

The fourth proportional to 403.14, 556.04 and 263.04 is: 362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.14 : 556.04 = 263.04 : x
  2. Step 2: Convert to fraction form
    403.14/556.04 = 263.04/x
  3. Step 3: Cross multiply
    403.14x = 556.04 × 263.04
  4. Step 4: Simplify right side
    403.14x = 146,259.33
  5. Step 5: Solve for x
    x = 146,259.33/403.14
  6. Step 6: Final answer
    x = 362.80

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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.