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Finding the Fourth Proportional to 405.35, 607.84 and 174.23

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Solution

The fourth proportional to 405.35, 607.84 and 174.23 is: 261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.35 : 607.84 = 174.23 : x
  2. Step 2: Convert to fraction form
    405.35/607.84 = 174.23/x
  3. Step 3: Cross multiply
    405.35x = 607.84 × 174.23
  4. Step 4: Simplify right side
    405.35x = 105,903.96
  5. Step 5: Solve for x
    x = 105,903.96/405.35
  6. Step 6: Final answer
    x = 261.27

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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.