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Finding the Fourth Proportional to 626.42, 864.41 and 360.91

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Solution

The fourth proportional to 626.42, 864.41 and 360.91 is: 498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.42 : 864.41 = 360.91 : x
  2. Step 2: Convert to fraction form
    626.42/864.41 = 360.91/x
  3. Step 3: Cross multiply
    626.42x = 864.41 × 360.91
  4. Step 4: Simplify right side
    626.42x = 311,973.49
  5. Step 5: Solve for x
    x = 311,973.49/626.42
  6. Step 6: Final answer
    x = 498.02

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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.