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Finding the Fourth Proportional to 325.12, 487.04 and 316.16

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Solution

The fourth proportional to 325.12, 487.04 and 316.16 is: 473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.12 : 487.04 = 316.16 : x
  2. Step 2: Convert to fraction form
    325.12/487.04 = 316.16/x
  3. Step 3: Cross multiply
    325.12x = 487.04 × 316.16
  4. Step 4: Simplify right side
    325.12x = 153,982.57
  5. Step 5: Solve for x
    x = 153,982.57/325.12
  6. Step 6: Final answer
    x = 473.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.