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Finding the Fourth Proportional to 405.25, 607.56 and 173.84

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Solution

The fourth proportional to 405.25, 607.56 and 173.84 is: 260.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.25 : 607.56 = 173.84 : x
  2. Step 2: Convert to fraction form
    405.25/607.56 = 173.84/x
  3. Step 3: Cross multiply
    405.25x = 607.56 × 173.84
  4. Step 4: Simplify right side
    405.25x = 105,615.19
  5. Step 5: Solve for x
    x = 105,615.19/405.25
  6. Step 6: Final answer
    x = 260.62

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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.