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Finding the Fourth Proportional to 484.11, 725.69 and 209.93

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Solution

The fourth proportional to 484.11, 725.69 and 209.93 is: 314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.11 : 725.69 = 209.93 : x
  2. Step 2: Convert to fraction form
    484.11/725.69 = 209.93/x
  3. Step 3: Cross multiply
    484.11x = 725.69 × 209.93
  4. Step 4: Simplify right side
    484.11x = 152,341.00
  5. Step 5: Solve for x
    x = 152,341.00/484.11
  6. Step 6: Final answer
    x = 314.68

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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.