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Finding the Fourth Proportional to 406.69, 561.19 and 232

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Solution

The fourth proportional to 406.69, 561.19 and 232 is: 320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.69 : 561.19 = 232 : x
  2. Step 2: Convert to fraction form
    406.69/561.19 = 232/x
  3. Step 3: Cross multiply
    406.69x = 561.19 × 232
  4. Step 4: Simplify right side
    406.69x = 130,196.08
  5. Step 5: Solve for x
    x = 130,196.08/406.69
  6. Step 6: Final answer
    x = 320.14

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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.