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Finding the Fourth Proportional to 626.53, 864.66 and 364.57

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Solution

The fourth proportional to 626.53, 864.66 and 364.57 is: 503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.53 : 864.66 = 364.57 : x
  2. Step 2: Convert to fraction form
    626.53/864.66 = 364.57/x
  3. Step 3: Cross multiply
    626.53x = 864.66 × 364.57
  4. Step 4: Simplify right side
    626.53x = 315,229.10
  5. Step 5: Solve for x
    x = 315,229.10/626.53
  6. Step 6: Final answer
    x = 503.13

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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.