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Finding the Fourth Proportional to 361.10, 497.01 and 319.82

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Solution

The fourth proportional to 361.10, 497.01 and 319.82 is: 440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.10 : 497.01 = 319.82 : x
  2. Step 2: Convert to fraction form
    361.10/497.01 = 319.82/x
  3. Step 3: Cross multiply
    361.10x = 497.01 × 319.82
  4. Step 4: Simplify right side
    361.10x = 158,953.74
  5. Step 5: Solve for x
    x = 158,953.74/361.10
  6. Step 6: Final answer
    x = 440.19

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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.