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Finding the Fourth Proportional to 626.22, 864.08 and 360.66

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Solution

The fourth proportional to 626.22, 864.08 and 360.66 is: 497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.22 : 864.08 = 360.66 : x
  2. Step 2: Convert to fraction form
    626.22/864.08 = 360.66/x
  3. Step 3: Cross multiply
    626.22x = 864.08 × 360.66
  4. Step 4: Simplify right side
    626.22x = 311,639.09
  5. Step 5: Solve for x
    x = 311,639.09/626.22
  6. Step 6: Final answer
    x = 497.65

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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.