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Finding the Fourth Proportional to 405.35, 607.25 and 267.99

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Solution

The fourth proportional to 405.35, 607.25 and 267.99 is: 401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.35 : 607.25 = 267.99 : x
  2. Step 2: Convert to fraction form
    405.35/607.25 = 267.99/x
  3. Step 3: Cross multiply
    405.35x = 607.25 × 267.99
  4. Step 4: Simplify right side
    405.35x = 162,736.93
  5. Step 5: Solve for x
    x = 162,736.93/405.35
  6. Step 6: Final answer
    x = 401.47

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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.