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Finding the Fourth Proportional to 626.53, 940 and 301.86

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Solution

The fourth proportional to 626.53, 940 and 301.86 is: 452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.53 : 940 = 301.86 : x
  2. Step 2: Convert to fraction form
    626.53/940 = 301.86/x
  3. Step 3: Cross multiply
    626.53x = 940 × 301.86
  4. Step 4: Simplify right side
    626.53x = 283,748.40
  5. Step 5: Solve for x
    x = 283,748.40/626.53
  6. Step 6: Final answer
    x = 452.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.