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Finding the Fourth Proportional to 621.46, 931.24 and 312.45

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Solution

The fourth proportional to 621.46, 931.24 and 312.45 is: 468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.46 : 931.24 = 312.45 : x
  2. Step 2: Convert to fraction form
    621.46/931.24 = 312.45/x
  3. Step 3: Cross multiply
    621.46x = 931.24 × 312.45
  4. Step 4: Simplify right side
    621.46x = 290,965.94
  5. Step 5: Solve for x
    x = 290,965.94/621.46
  6. Step 6: Final answer
    x = 468.20

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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.