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Finding the Fourth Proportional to 626.20, 864.09 and 346.38

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Solution

The fourth proportional to 626.20, 864.09 and 346.38 is: 477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.20 : 864.09 = 346.38 : x
  2. Step 2: Convert to fraction form
    626.20/864.09 = 346.38/x
  3. Step 3: Cross multiply
    626.20x = 864.09 × 346.38
  4. Step 4: Simplify right side
    626.20x = 299,303.49
  5. Step 5: Solve for x
    x = 299,303.49/626.20
  6. Step 6: Final answer
    x = 477.97

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1.5x scale

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.