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Finding the Fourth Proportional to 626.64, 864.80 and 364.69

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Solution

The fourth proportional to 626.64, 864.80 and 364.69 is: 503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.64 : 864.80 = 364.69 : x
  2. Step 2: Convert to fraction form
    626.64/864.80 = 364.69/x
  3. Step 3: Cross multiply
    626.64x = 864.80 × 364.69
  4. Step 4: Simplify right side
    626.64x = 315,383.91
  5. Step 5: Solve for x
    x = 315,383.91/626.64
  6. Step 6: Final answer
    x = 503.29

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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.