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Finding the Fourth Proportional to 467.67, 701.60 and 275.25

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Solution

The fourth proportional to 467.67, 701.60 and 275.25 is: 412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.67 : 701.60 = 275.25 : x
  2. Step 2: Convert to fraction form
    467.67/701.60 = 275.25/x
  3. Step 3: Cross multiply
    467.67x = 701.60 × 275.25
  4. Step 4: Simplify right side
    467.67x = 193,114.02
  5. Step 5: Solve for x
    x = 193,114.02/467.67
  6. Step 6: Final answer
    x = 412.93

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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.