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Finding the Fourth Proportional to 495.38, 742.47 and 413.98

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Solution

The fourth proportional to 495.38, 742.47 and 413.98 is: 620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.38 : 742.47 = 413.98 : x
  2. Step 2: Convert to fraction form
    495.38/742.47 = 413.98/x
  3. Step 3: Cross multiply
    495.38x = 742.47 × 413.98
  4. Step 4: Simplify right side
    495.38x = 307,364.32
  5. Step 5: Solve for x
    x = 307,364.32/495.38
  6. Step 6: Final answer
    x = 620.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.