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Finding the Fourth Proportional to 407.05, 561.81 and 289.04

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Solution

The fourth proportional to 407.05, 561.81 and 289.04 is: 398.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.05 : 561.81 = 289.04 : x
  2. Step 2: Convert to fraction form
    407.05/561.81 = 289.04/x
  3. Step 3: Cross multiply
    407.05x = 561.81 × 289.04
  4. Step 4: Simplify right side
    407.05x = 162,385.56
  5. Step 5: Solve for x
    x = 162,385.56/407.05
  6. Step 6: Final answer
    x = 398.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.