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Finding the Fourth Proportional to 405.86, 608.82 and 174.80

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Solution

The fourth proportional to 405.86, 608.82 and 174.80 is: 262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.86 : 608.82 = 174.80 : x
  2. Step 2: Convert to fraction form
    405.86/608.82 = 174.80/x
  3. Step 3: Cross multiply
    405.86x = 608.82 × 174.80
  4. Step 4: Simplify right side
    405.86x = 106,421.74
  5. Step 5: Solve for x
    x = 106,421.74/405.86
  6. Step 6: Final answer
    x = 262.21

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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.