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Finding the Fourth Proportional to 620.56, 931.30 and 506.35

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Solution

The fourth proportional to 620.56, 931.30 and 506.35 is: 759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.56 : 931.30 = 506.35 : x
  2. Step 2: Convert to fraction form
    620.56/931.30 = 506.35/x
  3. Step 3: Cross multiply
    620.56x = 931.30 × 506.35
  4. Step 4: Simplify right side
    620.56x = 471,563.65
  5. Step 5: Solve for x
    x = 471,563.65/620.56
  6. Step 6: Final answer
    x = 759.90

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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.