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Finding the Fourth Proportional to 467.12, 643.56 and 361.83

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Solution

The fourth proportional to 467.12, 643.56 and 361.83 is: 498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.12 : 643.56 = 361.83 : x
  2. Step 2: Convert to fraction form
    467.12/643.56 = 361.83/x
  3. Step 3: Cross multiply
    467.12x = 643.56 × 361.83
  4. Step 4: Simplify right side
    467.12x = 232,862.41
  5. Step 5: Solve for x
    x = 232,862.41/467.12
  6. Step 6: Final answer
    x = 498.51

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