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Finding the Fourth Proportional to 313.95, 471.08 and 209.90

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Solution

The fourth proportional to 313.95, 471.08 and 209.90 is: 314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.95 : 471.08 = 209.90 : x
  2. Step 2: Convert to fraction form
    313.95/471.08 = 209.90/x
  3. Step 3: Cross multiply
    313.95x = 471.08 × 209.90
  4. Step 4: Simplify right side
    313.95x = 98,878.84
  5. Step 5: Solve for x
    x = 98,878.84/313.95
  6. Step 6: Final answer
    x = 314.95

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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.