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Finding the Fourth Proportional to 317.09, 437.51 and 200.63

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Solution

The fourth proportional to 317.09, 437.51 and 200.63 is: 276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.09 : 437.51 = 200.63 : x
  2. Step 2: Convert to fraction form
    317.09/437.51 = 200.63/x
  3. Step 3: Cross multiply
    317.09x = 437.51 × 200.63
  4. Step 4: Simplify right side
    317.09x = 87,775.95
  5. Step 5: Solve for x
    x = 87,775.95/317.09
  6. Step 6: Final answer
    x = 276.82

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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.