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Finding the Fourth Proportional to 403.84, 557.82 and 299.14

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Solution

The fourth proportional to 403.84, 557.82 and 299.14 is: 413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.84 : 557.82 = 299.14 : x
  2. Step 2: Convert to fraction form
    403.84/557.82 = 299.14/x
  3. Step 3: Cross multiply
    403.84x = 557.82 × 299.14
  4. Step 4: Simplify right side
    403.84x = 166,866.27
  5. Step 5: Solve for x
    x = 166,866.27/403.84
  6. Step 6: Final answer
    x = 413.20

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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.