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Finding the Fourth Proportional to 620.12, 929.52 and 311.48

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Solution

The fourth proportional to 620.12, 929.52 and 311.48 is: 466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.12 : 929.52 = 311.48 : x
  2. Step 2: Convert to fraction form
    620.12/929.52 = 311.48/x
  3. Step 3: Cross multiply
    620.12x = 929.52 × 311.48
  4. Step 4: Simplify right side
    620.12x = 289,526.89
  5. Step 5: Solve for x
    x = 289,526.89/620.12
  6. Step 6: Final answer
    x = 466.89

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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.