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Finding the Fourth Proportional to 629.15, 867.80 and 442.65

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Solution

The fourth proportional to 629.15, 867.80 and 442.65 is: 610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.15 : 867.80 = 442.65 : x
  2. Step 2: Convert to fraction form
    629.15/867.80 = 442.65/x
  3. Step 3: Cross multiply
    629.15x = 867.80 × 442.65
  4. Step 4: Simplify right side
    629.15x = 384,129.46
  5. Step 5: Solve for x
    x = 384,129.46/629.15
  6. Step 6: Final answer
    x = 610.56

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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.