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Finding the Fourth Proportional to 325.29, 484.85 and 316.64

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Solution

The fourth proportional to 325.29, 484.85 and 316.64 is: 471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.29 : 484.85 = 316.64 : x
  2. Step 2: Convert to fraction form
    325.29/484.85 = 316.64/x
  3. Step 3: Cross multiply
    325.29x = 484.85 × 316.64
  4. Step 4: Simplify right side
    325.29x = 153,518.90
  5. Step 5: Solve for x
    x = 153,518.90/325.29
  6. Step 6: Final answer
    x = 471.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.