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Finding the Fourth Proportional to 649.58, 974.32 and 216.72

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Solution

The fourth proportional to 649.58, 974.32 and 216.72 is: 325.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.58 : 974.32 = 216.72 : x
  2. Step 2: Convert to fraction form
    649.58/974.32 = 216.72/x
  3. Step 3: Cross multiply
    649.58x = 974.32 × 216.72
  4. Step 4: Simplify right side
    649.58x = 211,154.09
  5. Step 5: Solve for x
    x = 211,154.09/649.58
  6. Step 6: Final answer
    x = 325.06

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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.