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Finding the Fourth Proportional to 626.19, 864.21 and 346.49

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Solution

The fourth proportional to 626.19, 864.21 and 346.49 is: 478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.19 : 864.21 = 346.49 : x
  2. Step 2: Convert to fraction form
    626.19/864.21 = 346.49/x
  3. Step 3: Cross multiply
    626.19x = 864.21 × 346.49
  4. Step 4: Simplify right side
    626.19x = 299,435.80
  5. Step 5: Solve for x
    x = 299,435.80/626.19
  6. Step 6: Final answer
    x = 478.19

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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.