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Finding the Fourth Proportional to 626.14, 864.06 and 346.37

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Solution

The fourth proportional to 626.14, 864.06 and 346.37 is: 477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.14 : 864.06 = 346.37 : x
  2. Step 2: Convert to fraction form
    626.14/864.06 = 346.37/x
  3. Step 3: Cross multiply
    626.14x = 864.06 × 346.37
  4. Step 4: Simplify right side
    626.14x = 299,284.46
  5. Step 5: Solve for x
    x = 299,284.46/626.14
  6. Step 6: Final answer
    x = 477.98

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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.