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Finding the Fourth Proportional to 484.08, 725.64 and 210.12

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Solution

The fourth proportional to 484.08, 725.64 and 210.12 is: 314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.08 : 725.64 = 210.12 : x
  2. Step 2: Convert to fraction form
    484.08/725.64 = 210.12/x
  3. Step 3: Cross multiply
    484.08x = 725.64 × 210.12
  4. Step 4: Simplify right side
    484.08x = 152,471.48
  5. Step 5: Solve for x
    x = 152,471.48/484.08
  6. Step 6: Final answer
    x = 314.97

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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.