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Finding the Fourth Proportional to 442.88, 610.92 and 360.08

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Solution

The fourth proportional to 442.88, 610.92 and 360.08 is: 496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.88 : 610.92 = 360.08 : x
  2. Step 2: Convert to fraction form
    442.88/610.92 = 360.08/x
  3. Step 3: Cross multiply
    442.88x = 610.92 × 360.08
  4. Step 4: Simplify right side
    442.88x = 219,980.07
  5. Step 5: Solve for x
    x = 219,980.07/442.88
  6. Step 6: Final answer
    x = 496.70

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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.