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Finding the Fourth Proportional to 626.24, 864.14 and 364.20

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Solution

The fourth proportional to 626.24, 864.14 and 364.20 is: 502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.24 : 864.14 = 364.20 : x
  2. Step 2: Convert to fraction form
    626.24/864.14 = 364.20/x
  3. Step 3: Cross multiply
    626.24x = 864.14 × 364.20
  4. Step 4: Simplify right side
    626.24x = 314,719.79
  5. Step 5: Solve for x
    x = 314,719.79/626.24
  6. Step 6: Final answer
    x = 502.55

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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.