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Finding the Fourth Proportional to 284.40, 393.12 and 261.72

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Solution

The fourth proportional to 284.40, 393.12 and 261.72 is: 361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.40 : 393.12 = 261.72 : x
  2. Step 2: Convert to fraction form
    284.40/393.12 = 261.72/x
  3. Step 3: Cross multiply
    284.40x = 393.12 × 261.72
  4. Step 4: Simplify right side
    284.40x = 102,887.37
  5. Step 5: Solve for x
    x = 102,887.37/284.40
  6. Step 6: Final answer
    x = 361.77

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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.