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Finding the Fourth Proportional to 399.09, 598.32 and 394.53

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Solution

The fourth proportional to 399.09, 598.32 and 394.53 is: 591.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.09 : 598.32 = 394.53 : x
  2. Step 2: Convert to fraction form
    399.09/598.32 = 394.53/x
  3. Step 3: Cross multiply
    399.09x = 598.32 × 394.53
  4. Step 4: Simplify right side
    399.09x = 236,055.19
  5. Step 5: Solve for x
    x = 236,055.19/399.09
  6. Step 6: Final answer
    x = 591.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.