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Finding the Fourth Proportional to 406.64, 561.14 and 232.02

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Solution

The fourth proportional to 406.64, 561.14 and 232.02 is: 320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.64 : 561.14 = 232.02 : x
  2. Step 2: Convert to fraction form
    406.64/561.14 = 232.02/x
  3. Step 3: Cross multiply
    406.64x = 561.14 × 232.02
  4. Step 4: Simplify right side
    406.64x = 130,195.70
  5. Step 5: Solve for x
    x = 130,195.70/406.64
  6. Step 6: Final answer
    x = 320.17

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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.