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Finding the Fourth Proportional to 467.68, 701.35 and 337.29

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Solution

The fourth proportional to 467.68, 701.35 and 337.29 is: 505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.68 : 701.35 = 337.29 : x
  2. Step 2: Convert to fraction form
    467.68/701.35 = 337.29/x
  3. Step 3: Cross multiply
    467.68x = 701.35 × 337.29
  4. Step 4: Simplify right side
    467.68x = 236,558.34
  5. Step 5: Solve for x
    x = 236,558.34/467.68
  6. Step 6: Final answer
    x = 505.81

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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.