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Finding the Fourth Proportional to 317.00, 437.13 and 206.48

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Solution

The fourth proportional to 317.00, 437.13 and 206.48 is: 284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.00 : 437.13 = 206.48 : x
  2. Step 2: Convert to fraction form
    317.00/437.13 = 206.48/x
  3. Step 3: Cross multiply
    317.00x = 437.13 × 206.48
  4. Step 4: Simplify right side
    317.00x = 90,256.42
  5. Step 5: Solve for x
    x = 90,256.42/317.00
  6. Step 6: Final answer
    x = 284.73

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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.