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Finding the Fourth Proportional to 484.64, 725.76 and 361.76

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Solution

The fourth proportional to 484.64, 725.76 and 361.76 is: 541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.64 : 725.76 = 361.76 : x
  2. Step 2: Convert to fraction form
    484.64/725.76 = 361.76/x
  3. Step 3: Cross multiply
    484.64x = 725.76 × 361.76
  4. Step 4: Simplify right side
    484.64x = 262,550.94
  5. Step 5: Solve for x
    x = 262,550.94/484.64
  6. Step 6: Final answer
    x = 541.74

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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.