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Finding the Fourth Proportional to 314.42, 434.36 and 311.99

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Solution

The fourth proportional to 314.42, 434.36 and 311.99 is: 431.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.42 : 434.36 = 311.99 : x
  2. Step 2: Convert to fraction form
    314.42/434.36 = 311.99/x
  3. Step 3: Cross multiply
    314.42x = 434.36 × 311.99
  4. Step 4: Simplify right side
    314.42x = 135,514.58
  5. Step 5: Solve for x
    x = 135,514.58/314.42
  6. Step 6: Final answer
    x = 431.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.