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Finding the Fourth Proportional to 626.65, 864.83 and 378.06

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Solution

The fourth proportional to 626.65, 864.83 and 378.06 is: 521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.65 : 864.83 = 378.06 : x
  2. Step 2: Convert to fraction form
    626.65/864.83 = 378.06/x
  3. Step 3: Cross multiply
    626.65x = 864.83 × 378.06
  4. Step 4: Simplify right side
    626.65x = 326,957.63
  5. Step 5: Solve for x
    x = 326,957.63/626.65
  6. Step 6: Final answer
    x = 521.75

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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.