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Finding the Fourth Proportional to 361.71, 499.35 and 278.64

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Solution

The fourth proportional to 361.71, 499.35 and 278.64 is: 384.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.71 : 499.35 = 278.64 : x
  2. Step 2: Convert to fraction form
    361.71/499.35 = 278.64/x
  3. Step 3: Cross multiply
    361.71x = 499.35 × 278.64
  4. Step 4: Simplify right side
    361.71x = 139,138.88
  5. Step 5: Solve for x
    x = 139,138.88/361.71
  6. Step 6: Final answer
    x = 384.67

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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.