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Finding the Fourth Proportional to 405.71, 608.57 and 174.63

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Solution

The fourth proportional to 405.71, 608.57 and 174.63 is: 261.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.71 : 608.57 = 174.63 : x
  2. Step 2: Convert to fraction form
    405.71/608.57 = 174.63/x
  3. Step 3: Cross multiply
    405.71x = 608.57 × 174.63
  4. Step 4: Simplify right side
    405.71x = 106,273.71
  5. Step 5: Solve for x
    x = 106,273.71/405.71
  6. Step 6: Final answer
    x = 261.95

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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.