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Finding the Fourth Proportional to 619.52, 929.16 and 208.64

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Solution

The fourth proportional to 619.52, 929.16 and 208.64 is: 312.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.52 : 929.16 = 208.64 : x
  2. Step 2: Convert to fraction form
    619.52/929.16 = 208.64/x
  3. Step 3: Cross multiply
    619.52x = 929.16 × 208.64
  4. Step 4: Simplify right side
    619.52x = 193,859.94
  5. Step 5: Solve for x
    x = 193,859.94/619.52
  6. Step 6: Final answer
    x = 312.92

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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.