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Finding the Fourth Proportional to 626.64, 864.82 and 416.46

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Solution

The fourth proportional to 626.64, 864.82 and 416.46 is: 574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.64 : 864.82 = 416.46 : x
  2. Step 2: Convert to fraction form
    626.64/864.82 = 416.46/x
  3. Step 3: Cross multiply
    626.64x = 864.82 × 416.46
  4. Step 4: Simplify right side
    626.64x = 360,162.94
  5. Step 5: Solve for x
    x = 360,162.94/626.64
  6. Step 6: Final answer
    x = 574.75

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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.