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Finding the Fourth Proportional to 472.57, 651.35 and 361.81

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Solution

The fourth proportional to 472.57, 651.35 and 361.81 is: 498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.57 : 651.35 = 361.81 : x
  2. Step 2: Convert to fraction form
    472.57/651.35 = 361.81/x
  3. Step 3: Cross multiply
    472.57x = 651.35 × 361.81
  4. Step 4: Simplify right side
    472.57x = 235,664.94
  5. Step 5: Solve for x
    x = 235,664.94/472.57
  6. Step 6: Final answer
    x = 498.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.