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Finding the Fourth Proportional to 467.30, 645.08 and 301.76

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Solution

The fourth proportional to 467.30, 645.08 and 301.76 is: 416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.30 : 645.08 = 301.76 : x
  2. Step 2: Convert to fraction form
    467.30/645.08 = 301.76/x
  3. Step 3: Cross multiply
    467.30x = 645.08 × 301.76
  4. Step 4: Simplify right side
    467.30x = 194,659.34
  5. Step 5: Solve for x
    x = 194,659.34/467.30
  6. Step 6: Final answer
    x = 416.56

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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.