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Finding the Fourth Proportional to 285.84, 427.98 and 267.12

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Solution

The fourth proportional to 285.84, 427.98 and 267.12 is: 399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.84 : 427.98 = 267.12 : x
  2. Step 2: Convert to fraction form
    285.84/427.98 = 267.12/x
  3. Step 3: Cross multiply
    285.84x = 427.98 × 267.12
  4. Step 4: Simplify right side
    285.84x = 114,322.02
  5. Step 5: Solve for x
    x = 114,322.02/285.84
  6. Step 6: Final answer
    x = 399.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.