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Finding the Fourth Proportional to 399.16, 598.78 and 171

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Solution

The fourth proportional to 399.16, 598.78 and 171 is: 256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.16 : 598.78 = 171 : x
  2. Step 2: Convert to fraction form
    399.16/598.78 = 171/x
  3. Step 3: Cross multiply
    399.16x = 598.78 × 171
  4. Step 4: Simplify right side
    399.16x = 102,391.38
  5. Step 5: Solve for x
    x = 102,391.38/399.16
  6. Step 6: Final answer
    x = 256.52

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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.