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Finding the Fourth Proportional to 450.34, 675.63 and 219.22

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Solution

The fourth proportional to 450.34, 675.63 and 219.22 is: 328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.34 : 675.63 = 219.22 : x
  2. Step 2: Convert to fraction form
    450.34/675.63 = 219.22/x
  3. Step 3: Cross multiply
    450.34x = 675.63 × 219.22
  4. Step 4: Simplify right side
    450.34x = 148,111.61
  5. Step 5: Solve for x
    x = 148,111.61/450.34
  6. Step 6: Final answer
    x = 328.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.