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Finding the Fourth Proportional to 267.46, 403.74 and 264.58

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Solution

The fourth proportional to 267.46, 403.74 and 264.58 is: 399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.46 : 403.74 = 264.58 : x
  2. Step 2: Convert to fraction form
    267.46/403.74 = 264.58/x
  3. Step 3: Cross multiply
    267.46x = 403.74 × 264.58
  4. Step 4: Simplify right side
    267.46x = 106,820.21
  5. Step 5: Solve for x
    x = 106,820.21/267.46
  6. Step 6: Final answer
    x = 399.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.