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Finding the Fourth Proportional to 626.83, 864.84 and 364.80

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Solution

The fourth proportional to 626.83, 864.84 and 364.80 is: 503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.83 : 864.84 = 364.80 : x
  2. Step 2: Convert to fraction form
    626.83/864.84 = 364.80/x
  3. Step 3: Cross multiply
    626.83x = 864.84 × 364.80
  4. Step 4: Simplify right side
    626.83x = 315,493.63
  5. Step 5: Solve for x
    x = 315,493.63/626.83
  6. Step 6: Final answer
    x = 503.32

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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.