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Finding the Fourth Proportional to 399.16, 598.42 and 171.32

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Solution

The fourth proportional to 399.16, 598.42 and 171.32 is: 256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.16 : 598.42 = 171.32 : x
  2. Step 2: Convert to fraction form
    399.16/598.42 = 171.32/x
  3. Step 3: Cross multiply
    399.16x = 598.42 × 171.32
  4. Step 4: Simplify right side
    399.16x = 102,521.31
  5. Step 5: Solve for x
    x = 102,521.31/399.16
  6. Step 6: Final answer
    x = 256.84

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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.