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Finding the Fourth Proportional to 458.50, 688.20 and 321.06

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Solution

The fourth proportional to 458.50, 688.20 and 321.06 is: 481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.50 : 688.20 = 321.06 : x
  2. Step 2: Convert to fraction form
    458.50/688.20 = 321.06/x
  3. Step 3: Cross multiply
    458.50x = 688.20 × 321.06
  4. Step 4: Simplify right side
    458.50x = 220,953.49
  5. Step 5: Solve for x
    x = 220,953.49/458.50
  6. Step 6: Final answer
    x = 481.91

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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.