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Finding the Fourth Proportional to 484.13, 725.37 and 210.08

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Solution

The fourth proportional to 484.13, 725.37 and 210.08 is: 314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.13 : 725.37 = 210.08 : x
  2. Step 2: Convert to fraction form
    484.13/725.37 = 210.08/x
  3. Step 3: Cross multiply
    484.13x = 725.37 × 210.08
  4. Step 4: Simplify right side
    484.13x = 152,382.10
  5. Step 5: Solve for x
    x = 152,382.10/484.13
  6. Step 6: Final answer
    x = 314.76

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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.