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Finding the Fourth Proportional to 481.22, 722.40 and 457.01

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Solution

The fourth proportional to 481.22, 722.40 and 457.01 is: 686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.22 : 722.40 = 457.01 : x
  2. Step 2: Convert to fraction form
    481.22/722.40 = 457.01/x
  3. Step 3: Cross multiply
    481.22x = 722.40 × 457.01
  4. Step 4: Simplify right side
    481.22x = 330,140.41
  5. Step 5: Solve for x
    x = 330,140.41/481.22
  6. Step 6: Final answer
    x = 686.06

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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.