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Finding the Fourth Proportional to 409.23, 564.58 and 321.05

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Solution

The fourth proportional to 409.23, 564.58 and 321.05 is: 442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.23 : 564.58 = 321.05 : x
  2. Step 2: Convert to fraction form
    409.23/564.58 = 321.05/x
  3. Step 3: Cross multiply
    409.23x = 564.58 × 321.05
  4. Step 4: Simplify right side
    409.23x = 181,258.41
  5. Step 5: Solve for x
    x = 181,258.41/409.23
  6. Step 6: Final answer
    x = 442.93

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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.