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Finding the Fourth Proportional to 442.13, 609.51 and 348.50

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Solution

The fourth proportional to 442.13, 609.51 and 348.50 is: 480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.13 : 609.51 = 348.50 : x
  2. Step 2: Convert to fraction form
    442.13/609.51 = 348.50/x
  3. Step 3: Cross multiply
    442.13x = 609.51 × 348.50
  4. Step 4: Simplify right side
    442.13x = 212,414.24
  5. Step 5: Solve for x
    x = 212,414.24/442.13
  6. Step 6: Final answer
    x = 480.43

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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.