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Finding the Fourth Proportional to 565.16, 845.42 and 400.64

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Solution

The fourth proportional to 565.16, 845.42 and 400.64 is: 599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.16 : 845.42 = 400.64 : x
  2. Step 2: Convert to fraction form
    565.16/845.42 = 400.64/x
  3. Step 3: Cross multiply
    565.16x = 845.42 × 400.64
  4. Step 4: Simplify right side
    565.16x = 338,709.07
  5. Step 5: Solve for x
    x = 338,709.07/565.16
  6. Step 6: Final answer
    x = 599.32

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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.