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Finding the Fourth Proportional to 317.02, 437.56 and 206.30

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Solution

The fourth proportional to 317.02, 437.56 and 206.30 is: 284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.02 : 437.56 = 206.30 : x
  2. Step 2: Convert to fraction form
    317.02/437.56 = 206.30/x
  3. Step 3: Cross multiply
    317.02x = 437.56 × 206.30
  4. Step 4: Simplify right side
    317.02x = 90,268.63
  5. Step 5: Solve for x
    x = 90,268.63/317.02
  6. Step 6: Final answer
    x = 284.74

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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.