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Finding the Fourth Proportional to 383.64, 529.57 and 267.27

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Solution

The fourth proportional to 383.64, 529.57 and 267.27 is: 368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.64 : 529.57 = 267.27 : x
  2. Step 2: Convert to fraction form
    383.64/529.57 = 267.27/x
  3. Step 3: Cross multiply
    383.64x = 529.57 × 267.27
  4. Step 4: Simplify right side
    383.64x = 141,538.17
  5. Step 5: Solve for x
    x = 141,538.17/383.64
  6. Step 6: Final answer
    x = 368.93

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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.