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Finding the Fourth Proportional to 407.25, 562.05 and 232.56

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Solution

The fourth proportional to 407.25, 562.05 and 232.56 is: 320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.25 : 562.05 = 232.56 : x
  2. Step 2: Convert to fraction form
    407.25/562.05 = 232.56/x
  3. Step 3: Cross multiply
    407.25x = 562.05 × 232.56
  4. Step 4: Simplify right side
    407.25x = 130,710.35
  5. Step 5: Solve for x
    x = 130,710.35/407.25
  6. Step 6: Final answer
    x = 320.96

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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.