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Finding the Fourth Proportional to 621.10, 931.65 and 523.90

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Solution

The fourth proportional to 621.10, 931.65 and 523.90 is: 785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.10 : 931.65 = 523.90 : x
  2. Step 2: Convert to fraction form
    621.10/931.65 = 523.90/x
  3. Step 3: Cross multiply
    621.10x = 931.65 × 523.90
  4. Step 4: Simplify right side
    621.10x = 488,091.44
  5. Step 5: Solve for x
    x = 488,091.44/621.10
  6. Step 6: Final answer
    x = 785.85

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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.