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Finding the Fourth Proportional to 626.12, 864.01 and 346.35

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Solution

The fourth proportional to 626.12, 864.01 and 346.35 is: 477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.12 : 864.01 = 346.35 : x
  2. Step 2: Convert to fraction form
    626.12/864.01 = 346.35/x
  3. Step 3: Cross multiply
    626.12x = 864.01 × 346.35
  4. Step 4: Simplify right side
    626.12x = 299,245.54
  5. Step 5: Solve for x
    x = 299,245.54/626.12
  6. Step 6: Final answer
    x = 477.93

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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.