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Finding the Fourth Proportional to 565.42, 846.90 and 276.26

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Solution

The fourth proportional to 565.42, 846.90 and 276.26 is: 413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.42 : 846.90 = 276.26 : x
  2. Step 2: Convert to fraction form
    565.42/846.90 = 276.26/x
  3. Step 3: Cross multiply
    565.42x = 846.90 × 276.26
  4. Step 4: Simplify right side
    565.42x = 233,964.59
  5. Step 5: Solve for x
    x = 233,964.59/565.42
  6. Step 6: Final answer
    x = 413.79

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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.