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Finding the Fourth Proportional to 565.44, 846.65 and 399.99

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Solution

The fourth proportional to 565.44, 846.65 and 399.99 is: 598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.44 : 846.65 = 399.99 : x
  2. Step 2: Convert to fraction form
    565.44/846.65 = 399.99/x
  3. Step 3: Cross multiply
    565.44x = 846.65 × 399.99
  4. Step 4: Simplify right side
    565.44x = 338,649.53
  5. Step 5: Solve for x
    x = 338,649.53/565.44
  6. Step 6: Final answer
    x = 598.91

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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.