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Finding the Fourth Proportional to 406.71, 561.30 and 232.08

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Solution

The fourth proportional to 406.71, 561.30 and 232.08 is: 320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.71 : 561.30 = 232.08 : x
  2. Step 2: Convert to fraction form
    406.71/561.30 = 232.08/x
  3. Step 3: Cross multiply
    406.71x = 561.30 × 232.08
  4. Step 4: Simplify right side
    406.71x = 130,266.50
  5. Step 5: Solve for x
    x = 130,266.50/406.71
  6. Step 6: Final answer
    x = 320.29

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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.