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Finding the Fourth Proportional to 317.64, 438.36 and 207.41

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Solution

The fourth proportional to 317.64, 438.36 and 207.41 is: 286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.64 : 438.36 = 207.41 : x
  2. Step 2: Convert to fraction form
    317.64/438.36 = 207.41/x
  3. Step 3: Cross multiply
    317.64x = 438.36 × 207.41
  4. Step 4: Simplify right side
    317.64x = 90,920.25
  5. Step 5: Solve for x
    x = 90,920.25/317.64
  6. Step 6: Final answer
    x = 286.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.