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Finding the Fourth Proportional to 405.88, 609.03 and 174.71

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Solution

The fourth proportional to 405.88, 609.03 and 174.71 is: 262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.88 : 609.03 = 174.71 : x
  2. Step 2: Convert to fraction form
    405.88/609.03 = 174.71/x
  3. Step 3: Cross multiply
    405.88x = 609.03 × 174.71
  4. Step 4: Simplify right side
    405.88x = 106,403.63
  5. Step 5: Solve for x
    x = 106,403.63/405.88
  6. Step 6: Final answer
    x = 262.16

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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.