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Finding the Fourth Proportional to 317.58, 437.90 and 206.88

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Solution

The fourth proportional to 317.58, 437.90 and 206.88 is: 285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.58 : 437.90 = 206.88 : x
  2. Step 2: Convert to fraction form
    317.58/437.90 = 206.88/x
  3. Step 3: Cross multiply
    317.58x = 437.90 × 206.88
  4. Step 4: Simplify right side
    317.58x = 90,592.75
  5. Step 5: Solve for x
    x = 90,592.75/317.58
  6. Step 6: Final answer
    x = 285.26

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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.