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Finding the Fourth Proportional to 917.92, 1,377.06 and 301.60

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Solution

The fourth proportional to 917.92, 1,377.06 and 301.60 is: 452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.92 : 1,377.06 = 301.60 : x
  2. Step 2: Convert to fraction form
    917.92/1,377.06 = 301.60/x
  3. Step 3: Cross multiply
    917.92x = 1,377.06 × 301.60
  4. Step 4: Simplify right side
    917.92x = 415,321.30
  5. Step 5: Solve for x
    x = 415,321.30/917.92
  6. Step 6: Final answer
    x = 452.46

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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.