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Finding the Fourth Proportional to 468.28, 646.20 and 293.74

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Solution

The fourth proportional to 468.28, 646.20 and 293.74 is: 405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.28 : 646.20 = 293.74 : x
  2. Step 2: Convert to fraction form
    468.28/646.20 = 293.74/x
  3. Step 3: Cross multiply
    468.28x = 646.20 × 293.74
  4. Step 4: Simplify right side
    468.28x = 189,814.79
  5. Step 5: Solve for x
    x = 189,814.79/468.28
  6. Step 6: Final answer
    x = 405.34

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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.