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Finding the Fourth Proportional to 619.29, 928.12 and 253.66

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Solution

The fourth proportional to 619.29, 928.12 and 253.66 is: 380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.29 : 928.12 = 253.66 : x
  2. Step 2: Convert to fraction form
    619.29/928.12 = 253.66/x
  3. Step 3: Cross multiply
    619.29x = 928.12 × 253.66
  4. Step 4: Simplify right side
    619.29x = 235,426.92
  5. Step 5: Solve for x
    x = 235,426.92/619.29
  6. Step 6: Final answer
    x = 380.16

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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.