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Finding the Fourth Proportional to 626.16, 864.01 and 377.41

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Solution

The fourth proportional to 626.16, 864.01 and 377.41 is: 520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.16 : 864.01 = 377.41 : x
  2. Step 2: Convert to fraction form
    626.16/864.01 = 377.41/x
  3. Step 3: Cross multiply
    626.16x = 864.01 × 377.41
  4. Step 4: Simplify right side
    626.16x = 326,086.01
  5. Step 5: Solve for x
    x = 326,086.01/626.16
  6. Step 6: Final answer
    x = 520.77

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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.