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Finding the Fourth Proportional to 392.24, 587.40 and 245.62

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Solution

The fourth proportional to 392.24, 587.40 and 245.62 is: 367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.24 : 587.40 = 245.62 : x
  2. Step 2: Convert to fraction form
    392.24/587.40 = 245.62/x
  3. Step 3: Cross multiply
    392.24x = 587.40 × 245.62
  4. Step 4: Simplify right side
    392.24x = 144,277.19
  5. Step 5: Solve for x
    x = 144,277.19/392.24
  6. Step 6: Final answer
    x = 367.83

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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.