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Finding the Fourth Proportional to 407.10, 561.63 and 296.37

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Solution

The fourth proportional to 407.10, 561.63 and 296.37 is: 408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.10 : 561.63 = 296.37 : x
  2. Step 2: Convert to fraction form
    407.10/561.63 = 296.37/x
  3. Step 3: Cross multiply
    407.10x = 561.63 × 296.37
  4. Step 4: Simplify right side
    407.10x = 166,450.28
  5. Step 5: Solve for x
    x = 166,450.28/407.10
  6. Step 6: Final answer
    x = 408.87

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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.