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Finding the Fourth Proportional to 407.40, 562.26 and 232.75

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Solution

The fourth proportional to 407.40, 562.26 and 232.75 is: 321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.40 : 562.26 = 232.75 : x
  2. Step 2: Convert to fraction form
    407.40/562.26 = 232.75/x
  3. Step 3: Cross multiply
    407.40x = 562.26 × 232.75
  4. Step 4: Simplify right side
    407.40x = 130,866.02
  5. Step 5: Solve for x
    x = 130,866.02/407.40
  6. Step 6: Final answer
    x = 321.22

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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.