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Finding the Fourth Proportional to 390.96, 586.42 and 174.69

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Solution

The fourth proportional to 390.96, 586.42 and 174.69 is: 262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.96 : 586.42 = 174.69 : x
  2. Step 2: Convert to fraction form
    390.96/586.42 = 174.69/x
  3. Step 3: Cross multiply
    390.96x = 586.42 × 174.69
  4. Step 4: Simplify right side
    390.96x = 102,441.27
  5. Step 5: Solve for x
    x = 102,441.27/390.96
  6. Step 6: Final answer
    x = 262.02

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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.