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Finding the Fourth Proportional to 620.80, 929.71 and 312.25

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Solution

The fourth proportional to 620.80, 929.71 and 312.25 is: 467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.80 : 929.71 = 312.25 : x
  2. Step 2: Convert to fraction form
    620.80/929.71 = 312.25/x
  3. Step 3: Cross multiply
    620.80x = 929.71 × 312.25
  4. Step 4: Simplify right side
    620.80x = 290,301.95
  5. Step 5: Solve for x
    x = 290,301.95/620.80
  6. Step 6: Final answer
    x = 467.63

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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.