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Finding the Fourth Proportional to 458.09, 685.89 and 262.92

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Solution

The fourth proportional to 458.09, 685.89 and 262.92 is: 393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.09 : 685.89 = 262.92 : x
  2. Step 2: Convert to fraction form
    458.09/685.89 = 262.92/x
  3. Step 3: Cross multiply
    458.09x = 685.89 × 262.92
  4. Step 4: Simplify right side
    458.09x = 180,334.20
  5. Step 5: Solve for x
    x = 180,334.20/458.09
  6. Step 6: Final answer
    x = 393.67

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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.