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Finding the Fourth Proportional to 468.08, 645.72 and 293.36

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Solution

The fourth proportional to 468.08, 645.72 and 293.36 is: 404.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.08 : 645.72 = 293.36 : x
  2. Step 2: Convert to fraction form
    468.08/645.72 = 293.36/x
  3. Step 3: Cross multiply
    468.08x = 645.72 × 293.36
  4. Step 4: Simplify right side
    468.08x = 189,428.42
  5. Step 5: Solve for x
    x = 189,428.42/468.08
  6. Step 6: Final answer
    x = 404.69

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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.