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Finding the Fourth Proportional to 619.32, 928.72 and 208.36

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Solution

The fourth proportional to 619.32, 928.72 and 208.36 is: 312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.32 : 928.72 = 208.36 : x
  2. Step 2: Convert to fraction form
    619.32/928.72 = 208.36/x
  3. Step 3: Cross multiply
    619.32x = 928.72 × 208.36
  4. Step 4: Simplify right side
    619.32x = 193,508.10
  5. Step 5: Solve for x
    x = 193,508.10/619.32
  6. Step 6: Final answer
    x = 312.45

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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.