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Finding the Fourth Proportional to 314.42, 433.41 and 301.46

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Solution

The fourth proportional to 314.42, 433.41 and 301.46 is: 415.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.42 : 433.41 = 301.46 : x
  2. Step 2: Convert to fraction form
    314.42/433.41 = 301.46/x
  3. Step 3: Cross multiply
    314.42x = 433.41 × 301.46
  4. Step 4: Simplify right side
    314.42x = 130,655.78
  5. Step 5: Solve for x
    x = 130,655.78/314.42
  6. Step 6: Final answer
    x = 415.55

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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.