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Finding the Fourth Proportional to 314.81, 471.76 and 276.20

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Solution

The fourth proportional to 314.81, 471.76 and 276.20 is: 413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.81 : 471.76 = 276.20 : x
  2. Step 2: Convert to fraction form
    314.81/471.76 = 276.20/x
  3. Step 3: Cross multiply
    314.81x = 471.76 × 276.20
  4. Step 4: Simplify right side
    314.81x = 130,300.11
  5. Step 5: Solve for x
    x = 130,300.11/314.81
  6. Step 6: Final answer
    x = 413.90

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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.