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Finding the Fourth Proportional to 403.49, 557.61 and 299

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Solution

The fourth proportional to 403.49, 557.61 and 299 is: 413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.49 : 557.61 = 299 : x
  2. Step 2: Convert to fraction form
    403.49/557.61 = 299/x
  3. Step 3: Cross multiply
    403.49x = 557.61 × 299
  4. Step 4: Simplify right side
    403.49x = 166,725.39
  5. Step 5: Solve for x
    x = 166,725.39/403.49
  6. Step 6: Final answer
    x = 413.21

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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.