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Finding the Fourth Proportional to 313.14, 431.64 and 292.47

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Solution

The fourth proportional to 313.14, 431.64 and 292.47 is: 403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.14 : 431.64 = 292.47 : x
  2. Step 2: Convert to fraction form
    313.14/431.64 = 292.47/x
  3. Step 3: Cross multiply
    313.14x = 431.64 × 292.47
  4. Step 4: Simplify right side
    313.14x = 126,241.75
  5. Step 5: Solve for x
    x = 126,241.75/313.14
  6. Step 6: Final answer
    x = 403.15

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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.