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Finding the Fourth Proportional to 467.47, 699.93 and 337.60

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Solution

The fourth proportional to 467.47, 699.93 and 337.60 is: 505.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.47 : 699.93 = 337.60 : x
  2. Step 2: Convert to fraction form
    467.47/699.93 = 337.60/x
  3. Step 3: Cross multiply
    467.47x = 699.93 × 337.60
  4. Step 4: Simplify right side
    467.47x = 236,296.37
  5. Step 5: Solve for x
    x = 236,296.37/467.47
  6. Step 6: Final answer
    x = 505.48

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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.