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Finding the Fourth Proportional to 487.19, 730.80 and 194.75

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Solution

The fourth proportional to 487.19, 730.80 and 194.75 is: 292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.19 : 730.80 = 194.75 : x
  2. Step 2: Convert to fraction form
    487.19/730.80 = 194.75/x
  3. Step 3: Cross multiply
    487.19x = 730.80 × 194.75
  4. Step 4: Simplify right side
    487.19x = 142,323.30
  5. Step 5: Solve for x
    x = 142,323.30/487.19
  6. Step 6: Final answer
    x = 292.13

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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.