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Finding the Fourth Proportional to 619.06, 928.51 and 208.19

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Solution

The fourth proportional to 619.06, 928.51 and 208.19 is: 312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.06 : 928.51 = 208.19 : x
  2. Step 2: Convert to fraction form
    619.06/928.51 = 208.19/x
  3. Step 3: Cross multiply
    619.06x = 928.51 × 208.19
  4. Step 4: Simplify right side
    619.06x = 193,306.50
  5. Step 5: Solve for x
    x = 193,306.50/619.06
  6. Step 6: Final answer
    x = 312.26

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Why These Related Problems?

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