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Finding the Fourth Proportional to 620.64, 931.14 and 255.24

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Solution

The fourth proportional to 620.64, 931.14 and 255.24 is: 382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.64 : 931.14 = 255.24 : x
  2. Step 2: Convert to fraction form
    620.64/931.14 = 255.24/x
  3. Step 3: Cross multiply
    620.64x = 931.14 × 255.24
  4. Step 4: Simplify right side
    620.64x = 237,664.17
  5. Step 5: Solve for x
    x = 237,664.17/620.64
  6. Step 6: Final answer
    x = 382.93

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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.