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Finding the Fourth Proportional to 361.32, 498.32 and 283.56

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Solution

The fourth proportional to 361.32, 498.32 and 283.56 is: 391.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.32 : 498.32 = 283.56 : x
  2. Step 2: Convert to fraction form
    361.32/498.32 = 283.56/x
  3. Step 3: Cross multiply
    361.32x = 498.32 × 283.56
  4. Step 4: Simplify right side
    361.32x = 141,303.62
  5. Step 5: Solve for x
    x = 141,303.62/361.32
  6. Step 6: Final answer
    x = 391.08

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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.