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Finding the Fourth Proportional to 314.30, 471.90 and 309.14

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Solution

The fourth proportional to 314.30, 471.90 and 309.14 is: 464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.30 : 471.90 = 309.14 : x
  2. Step 2: Convert to fraction form
    314.30/471.90 = 309.14/x
  3. Step 3: Cross multiply
    314.30x = 471.90 × 309.14
  4. Step 4: Simplify right side
    314.30x = 145,880.81
  5. Step 5: Solve for x
    x = 145,880.81/314.30
  6. Step 6: Final answer
    x = 464.15

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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.