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Finding the Fourth Proportional to 314.10, 431.64 and 299.84

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Solution

The fourth proportional to 314.10, 431.64 and 299.84 is: 412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.10 : 431.64 = 299.84 : x
  2. Step 2: Convert to fraction form
    314.10/431.64 = 299.84/x
  3. Step 3: Cross multiply
    314.10x = 431.64 × 299.84
  4. Step 4: Simplify right side
    314.10x = 129,420.78
  5. Step 5: Solve for x
    x = 129,420.78/314.10
  6. Step 6: Final answer
    x = 412.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.