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Finding the Fourth Proportional to 626.58, 864.34 and 377.78

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Solution

The fourth proportional to 626.58, 864.34 and 377.78 is: 521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.58 : 864.34 = 377.78 : x
  2. Step 2: Convert to fraction form
    626.58/864.34 = 377.78/x
  3. Step 3: Cross multiply
    626.58x = 864.34 × 377.78
  4. Step 4: Simplify right side
    626.58x = 326,525.10
  5. Step 5: Solve for x
    x = 326,525.10/626.58
  6. Step 6: Final answer
    x = 521.12

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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.