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Finding the Fourth Proportional to 621.03, 931.87 and 412.94

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Solution

The fourth proportional to 621.03, 931.87 and 412.94 is: 619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.03 : 931.87 = 412.94 : x
  2. Step 2: Convert to fraction form
    621.03/931.87 = 412.94/x
  3. Step 3: Cross multiply
    621.03x = 931.87 × 412.94
  4. Step 4: Simplify right side
    621.03x = 384,805.37
  5. Step 5: Solve for x
    x = 384,805.37/621.03
  6. Step 6: Final answer
    x = 619.62

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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.