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Finding the Fourth Proportional to 485.22, 729.04 and 456.06

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Solution

The fourth proportional to 485.22, 729.04 and 456.06 is: 685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.22 : 729.04 = 456.06 : x
  2. Step 2: Convert to fraction form
    485.22/729.04 = 456.06/x
  3. Step 3: Cross multiply
    485.22x = 729.04 × 456.06
  4. Step 4: Simplify right side
    485.22x = 332,485.30
  5. Step 5: Solve for x
    x = 332,485.30/485.22
  6. Step 6: Final answer
    x = 685.23

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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.