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Finding the Fourth Proportional to 468.07, 645.85 and 293.31

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Solution

The fourth proportional to 468.07, 645.85 and 293.31 is: 404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.07 : 645.85 = 293.31 : x
  2. Step 2: Convert to fraction form
    468.07/645.85 = 293.31/x
  3. Step 3: Cross multiply
    468.07x = 645.85 × 293.31
  4. Step 4: Simplify right side
    468.07x = 189,435.14
  5. Step 5: Solve for x
    x = 189,435.14/468.07
  6. Step 6: Final answer
    x = 404.72

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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.