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Finding the Fourth Proportional to 620.01, 929.85 and 209.06

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Solution

The fourth proportional to 620.01, 929.85 and 209.06 is: 313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.01 : 929.85 = 209.06 : x
  2. Step 2: Convert to fraction form
    620.01/929.85 = 209.06/x
  3. Step 3: Cross multiply
    620.01x = 929.85 × 209.06
  4. Step 4: Simplify right side
    620.01x = 194,396.77
  5. Step 5: Solve for x
    x = 194,396.77/620.01
  6. Step 6: Final answer
    x = 313.54

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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.