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Finding the Fourth Proportional to 620.27, 930.72 and 312.11

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Solution

The fourth proportional to 620.27, 930.72 and 312.11 is: 468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.27 : 930.72 = 312.11 : x
  2. Step 2: Convert to fraction form
    620.27/930.72 = 312.11/x
  3. Step 3: Cross multiply
    620.27x = 930.72 × 312.11
  4. Step 4: Simplify right side
    620.27x = 290,482.37
  5. Step 5: Solve for x
    x = 290,482.37/620.27
  6. Step 6: Final answer
    x = 468.32

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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.