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Finding the Fourth Proportional to 317.75, 438.32 and 207.03

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Solution

The fourth proportional to 317.75, 438.32 and 207.03 is: 285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.75 : 438.32 = 207.03 : x
  2. Step 2: Convert to fraction form
    317.75/438.32 = 207.03/x
  3. Step 3: Cross multiply
    317.75x = 438.32 × 207.03
  4. Step 4: Simplify right side
    317.75x = 90,744.35
  5. Step 5: Solve for x
    x = 90,744.35/317.75
  6. Step 6: Final answer
    x = 285.59

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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.