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Finding the Fourth Proportional to 626.41, 864.53 and 364.38

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Solution

The fourth proportional to 626.41, 864.53 and 364.38 is: 502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.41 : 864.53 = 364.38 : x
  2. Step 2: Convert to fraction form
    626.41/864.53 = 364.38/x
  3. Step 3: Cross multiply
    626.41x = 864.53 × 364.38
  4. Step 4: Simplify right side
    626.41x = 315,017.44
  5. Step 5: Solve for x
    x = 315,017.44/626.41
  6. Step 6: Final answer
    x = 502.89

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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.