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Finding the Fourth Proportional to 626.28, 864.32 and 364.32

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Solution

The fourth proportional to 626.28, 864.32 and 364.32 is: 502.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.28 : 864.32 = 364.32 : x
  2. Step 2: Convert to fraction form
    626.28/864.32 = 364.32/x
  3. Step 3: Cross multiply
    626.28x = 864.32 × 364.32
  4. Step 4: Simplify right side
    626.28x = 314,887.24
  5. Step 5: Solve for x
    x = 314,887.24/626.28
  6. Step 6: Final answer
    x = 502.79

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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.