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Finding the Fourth Proportional to 621.46, 931.85 and 210.43

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Solution

The fourth proportional to 621.46, 931.85 and 210.43 is: 315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.46 : 931.85 = 210.43 : x
  2. Step 2: Convert to fraction form
    621.46/931.85 = 210.43/x
  3. Step 3: Cross multiply
    621.46x = 931.85 × 210.43
  4. Step 4: Simplify right side
    621.46x = 196,090.10
  5. Step 5: Solve for x
    x = 196,090.10/621.46
  6. Step 6: Final answer
    x = 315.53

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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.