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Finding the Fourth Proportional to 405.27, 608.12 and 174.10

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Solution

The fourth proportional to 405.27, 608.12 and 174.10 is: 261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.27 : 608.12 = 174.10 : x
  2. Step 2: Convert to fraction form
    405.27/608.12 = 174.10/x
  3. Step 3: Cross multiply
    405.27x = 608.12 × 174.10
  4. Step 4: Simplify right side
    405.27x = 105,873.69
  5. Step 5: Solve for x
    x = 105,873.69/405.27
  6. Step 6: Final answer
    x = 261.24

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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.