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Finding the Fourth Proportional to 487.94, 731.91 and 214.05

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Solution

The fourth proportional to 487.94, 731.91 and 214.05 is: 321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.94 : 731.91 = 214.05 : x
  2. Step 2: Convert to fraction form
    487.94/731.91 = 214.05/x
  3. Step 3: Cross multiply
    487.94x = 731.91 × 214.05
  4. Step 4: Simplify right side
    487.94x = 156,665.34
  5. Step 5: Solve for x
    x = 156,665.34/487.94
  6. Step 6: Final answer
    x = 321.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.