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Finding the Fourth Proportional to 399.72, 598.21 and 317.71

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Solution

The fourth proportional to 399.72, 598.21 and 317.71 is: 475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.72 : 598.21 = 317.71 : x
  2. Step 2: Convert to fraction form
    399.72/598.21 = 317.71/x
  3. Step 3: Cross multiply
    399.72x = 598.21 × 317.71
  4. Step 4: Simplify right side
    399.72x = 190,055.01
  5. Step 5: Solve for x
    x = 190,055.01/399.72
  6. Step 6: Final answer
    x = 475.47

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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.