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Finding the Fourth Proportional to 626.16, 864.13 and 377.55

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Solution

The fourth proportional to 626.16, 864.13 and 377.55 is: 521.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.16 : 864.13 = 377.55 : x
  2. Step 2: Convert to fraction form
    626.16/864.13 = 377.55/x
  3. Step 3: Cross multiply
    626.16x = 864.13 × 377.55
  4. Step 4: Simplify right side
    626.16x = 326,252.28
  5. Step 5: Solve for x
    x = 326,252.28/626.16
  6. Step 6: Final answer
    x = 521.04

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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.