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Finding the Fourth Proportional to 612.32, 844.69 and 360.07

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Solution

The fourth proportional to 612.32, 844.69 and 360.07 is: 496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.32 : 844.69 = 360.07 : x
  2. Step 2: Convert to fraction form
    612.32/844.69 = 360.07/x
  3. Step 3: Cross multiply
    612.32x = 844.69 × 360.07
  4. Step 4: Simplify right side
    612.32x = 304,148.07
  5. Step 5: Solve for x
    x = 304,148.07/612.32
  6. Step 6: Final answer
    x = 496.71

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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.