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Finding the Fourth Proportional to 468.12, 645.92 and 293.70

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Solution

The fourth proportional to 468.12, 645.92 and 293.70 is: 405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.12 : 645.92 = 293.70 : x
  2. Step 2: Convert to fraction form
    468.12/645.92 = 293.70/x
  3. Step 3: Cross multiply
    468.12x = 645.92 × 293.70
  4. Step 4: Simplify right side
    468.12x = 189,706.70
  5. Step 5: Solve for x
    x = 189,706.70/468.12
  6. Step 6: Final answer
    x = 405.25

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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.