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Finding the Fourth Proportional to 374.32, 561.48 and 289.36

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Solution

The fourth proportional to 374.32, 561.48 and 289.36 is: 434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.32 : 561.48 = 289.36 : x
  2. Step 2: Convert to fraction form
    374.32/561.48 = 289.36/x
  3. Step 3: Cross multiply
    374.32x = 561.48 × 289.36
  4. Step 4: Simplify right side
    374.32x = 162,469.85
  5. Step 5: Solve for x
    x = 162,469.85/374.32
  6. Step 6: Final answer
    x = 434.04

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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.