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Finding the Fourth Proportional to 626.53, 864.72 and 364.70

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Solution

The fourth proportional to 626.53, 864.72 and 364.70 is: 503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.53 : 864.72 = 364.70 : x
  2. Step 2: Convert to fraction form
    626.53/864.72 = 364.70/x
  3. Step 3: Cross multiply
    626.53x = 864.72 × 364.70
  4. Step 4: Simplify right side
    626.53x = 315,363.38
  5. Step 5: Solve for x
    x = 315,363.38/626.53
  6. Step 6: Final answer
    x = 503.35

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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.