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Finding the Fourth Proportional to 565.28, 846.86 and 443.32

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Solution

The fourth proportional to 565.28, 846.86 and 443.32 is: 664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.28 : 846.86 = 443.32 : x
  2. Step 2: Convert to fraction form
    565.28/846.86 = 443.32/x
  3. Step 3: Cross multiply
    565.28x = 846.86 × 443.32
  4. Step 4: Simplify right side
    565.28x = 375,430.41
  5. Step 5: Solve for x
    x = 375,430.41/565.28
  6. Step 6: Final answer
    x = 664.15

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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.