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Finding the Fourth Proportional to 456.85, 685.23 and 405.01

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Solution

The fourth proportional to 456.85, 685.23 and 405.01 is: 607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.85 : 685.23 = 405.01 : x
  2. Step 2: Convert to fraction form
    456.85/685.23 = 405.01/x
  3. Step 3: Cross multiply
    456.85x = 685.23 × 405.01
  4. Step 4: Simplify right side
    456.85x = 277,525.00
  5. Step 5: Solve for x
    x = 277,525.00/456.85
  6. Step 6: Final answer
    x = 607.48

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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.