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Finding the Fourth Proportional to 403.61, 557.06 and 263.48

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Solution

The fourth proportional to 403.61, 557.06 and 263.48 is: 363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.61 : 557.06 = 263.48 : x
  2. Step 2: Convert to fraction form
    403.61/557.06 = 263.48/x
  3. Step 3: Cross multiply
    403.61x = 557.06 × 263.48
  4. Step 4: Simplify right side
    403.61x = 146,770.07
  5. Step 5: Solve for x
    x = 146,770.07/403.61
  6. Step 6: Final answer
    x = 363.65

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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.