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Finding the Fourth Proportional to 313.42, 432.60 and 251.23

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Solution

The fourth proportional to 313.42, 432.60 and 251.23 is: 346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.42 : 432.60 = 251.23 : x
  2. Step 2: Convert to fraction form
    313.42/432.60 = 251.23/x
  3. Step 3: Cross multiply
    313.42x = 432.60 × 251.23
  4. Step 4: Simplify right side
    313.42x = 108,682.10
  5. Step 5: Solve for x
    x = 108,682.10/313.42
  6. Step 6: Final answer
    x = 346.76

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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.