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Finding the Fourth Proportional to 407.74, 562.62 and 233.06

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Solution

The fourth proportional to 407.74, 562.62 and 233.06 is: 321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.74 : 562.62 = 233.06 : x
  2. Step 2: Convert to fraction form
    407.74/562.62 = 233.06/x
  3. Step 3: Cross multiply
    407.74x = 562.62 × 233.06
  4. Step 4: Simplify right side
    407.74x = 131,124.22
  5. Step 5: Solve for x
    x = 131,124.22/407.74
  6. Step 6: Final answer
    x = 321.59

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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.