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Finding the Fourth Proportional to 649.51, 974.04 and 210.75

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Solution

The fourth proportional to 649.51, 974.04 and 210.75 is: 316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.51 : 974.04 = 210.75 : x
  2. Step 2: Convert to fraction form
    649.51/974.04 = 210.75/x
  3. Step 3: Cross multiply
    649.51x = 974.04 × 210.75
  4. Step 4: Simplify right side
    649.51x = 205,278.93
  5. Step 5: Solve for x
    x = 205,278.93/649.51
  6. Step 6: Final answer
    x = 316.05

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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.