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Finding the Fourth Proportional to 442.22, 610.29 and 368.41

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Solution

The fourth proportional to 442.22, 610.29 and 368.41 is: 508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.22 : 610.29 = 368.41 : x
  2. Step 2: Convert to fraction form
    442.22/610.29 = 368.41/x
  3. Step 3: Cross multiply
    442.22x = 610.29 × 368.41
  4. Step 4: Simplify right side
    442.22x = 224,835.10
  5. Step 5: Solve for x
    x = 224,835.10/442.22
  6. Step 6: Final answer
    x = 508.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.