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Finding the Fourth Proportional to 626.08, 864 and 377.66

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Solution

The fourth proportional to 626.08, 864 and 377.66 is: 521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.08 : 864 = 377.66 : x
  2. Step 2: Convert to fraction form
    626.08/864 = 377.66/x
  3. Step 3: Cross multiply
    626.08x = 864 × 377.66
  4. Step 4: Simplify right side
    626.08x = 326,298.24
  5. Step 5: Solve for x
    x = 326,298.24/626.08
  6. Step 6: Final answer
    x = 521.18

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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.