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Finding the Fourth Proportional to 620.34, 930.39 and 312.11

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Solution

The fourth proportional to 620.34, 930.39 and 312.11 is: 468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.34 : 930.39 = 312.11 : x
  2. Step 2: Convert to fraction form
    620.34/930.39 = 312.11/x
  3. Step 3: Cross multiply
    620.34x = 930.39 × 312.11
  4. Step 4: Simplify right side
    620.34x = 290,384.02
  5. Step 5: Solve for x
    x = 290,384.02/620.34
  6. Step 6: Final answer
    x = 468.10

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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.