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Finding the Fourth Proportional to 484.64, 727.04 and 345.05

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Solution

The fourth proportional to 484.64, 727.04 and 345.05 is: 517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.64 : 727.04 = 345.05 : x
  2. Step 2: Convert to fraction form
    484.64/727.04 = 345.05/x
  3. Step 3: Cross multiply
    484.64x = 727.04 × 345.05
  4. Step 4: Simplify right side
    484.64x = 250,859.79
  5. Step 5: Solve for x
    x = 250,859.79/484.64
  6. Step 6: Final answer
    x = 517.63

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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.