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Finding the Fourth Proportional to 626.21, 864.08 and 374.13

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Solution

The fourth proportional to 626.21, 864.08 and 374.13 is: 516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.21 : 864.08 = 374.13 : x
  2. Step 2: Convert to fraction form
    626.21/864.08 = 374.13/x
  3. Step 3: Cross multiply
    626.21x = 864.08 × 374.13
  4. Step 4: Simplify right side
    626.21x = 323,276.38
  5. Step 5: Solve for x
    x = 323,276.38/626.21
  6. Step 6: Final answer
    x = 516.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.