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Finding the Fourth Proportional to 314.82, 471.62 and 206.28

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Solution

The fourth proportional to 314.82, 471.62 and 206.28 is: 309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.82 : 471.62 = 206.28 : x
  2. Step 2: Convert to fraction form
    314.82/471.62 = 206.28/x
  3. Step 3: Cross multiply
    314.82x = 471.62 × 206.28
  4. Step 4: Simplify right side
    314.82x = 97,285.77
  5. Step 5: Solve for x
    x = 97,285.77/314.82
  6. Step 6: Final answer
    x = 309.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.