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Finding the Fourth Proportional to 620.65, 929.22 and 345.72

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Solution

The fourth proportional to 620.65, 929.22 and 345.72 is: 517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.65 : 929.22 = 345.72 : x
  2. Step 2: Convert to fraction form
    620.65/929.22 = 345.72/x
  3. Step 3: Cross multiply
    620.65x = 929.22 × 345.72
  4. Step 4: Simplify right side
    620.65x = 321,249.94
  5. Step 5: Solve for x
    x = 321,249.94/620.65
  6. Step 6: Final answer
    x = 517.60

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