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Finding the Fourth Proportional to 456.21, 685.74 and 396.06

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Solution

The fourth proportional to 456.21, 685.74 and 396.06 is: 595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.21 : 685.74 = 396.06 : x
  2. Step 2: Convert to fraction form
    456.21/685.74 = 396.06/x
  3. Step 3: Cross multiply
    456.21x = 685.74 × 396.06
  4. Step 4: Simplify right side
    456.21x = 271,594.18
  5. Step 5: Solve for x
    x = 271,594.18/456.21
  6. Step 6: Final answer
    x = 595.33

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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.