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Finding the Fourth Proportional to 274.48, 413.59 and 264.40

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Solution

The fourth proportional to 274.48, 413.59 and 264.40 is: 398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.48 : 413.59 = 264.40 : x
  2. Step 2: Convert to fraction form
    274.48/413.59 = 264.40/x
  3. Step 3: Cross multiply
    274.48x = 413.59 × 264.40
  4. Step 4: Simplify right side
    274.48x = 109,353.20
  5. Step 5: Solve for x
    x = 109,353.20/274.48
  6. Step 6: Final answer
    x = 398.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.