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Finding the Fourth Proportional to 413.74, 571.35 and 335.98

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Solution

The fourth proportional to 413.74, 571.35 and 335.98 is: 463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.74 : 571.35 = 335.98 : x
  2. Step 2: Convert to fraction form
    413.74/571.35 = 335.98/x
  3. Step 3: Cross multiply
    413.74x = 571.35 × 335.98
  4. Step 4: Simplify right side
    413.74x = 191,962.17
  5. Step 5: Solve for x
    x = 191,962.17/413.74
  6. Step 6: Final answer
    x = 463.97

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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.