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Finding the Fourth Proportional to 619.80, 928.21 and 311.25

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Solution

The fourth proportional to 619.80, 928.21 and 311.25 is: 466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.80 : 928.21 = 311.25 : x
  2. Step 2: Convert to fraction form
    619.80/928.21 = 311.25/x
  3. Step 3: Cross multiply
    619.80x = 928.21 × 311.25
  4. Step 4: Simplify right side
    619.80x = 288,905.36
  5. Step 5: Solve for x
    x = 288,905.36/619.80
  6. Step 6: Final answer
    x = 466.13

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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.