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Finding the Fourth Proportional to 467.88, 645.96 and 293.46

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Solution

The fourth proportional to 467.88, 645.96 and 293.46 is: 405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.88 : 645.96 = 293.46 : x
  2. Step 2: Convert to fraction form
    467.88/645.96 = 293.46/x
  3. Step 3: Cross multiply
    467.88x = 645.96 × 293.46
  4. Step 4: Simplify right side
    467.88x = 189,563.42
  5. Step 5: Solve for x
    x = 189,563.42/467.88
  6. Step 6: Final answer
    x = 405.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.