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Finding the Fourth Proportional to 469.92, 704.26 and 462.63

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Solution

The fourth proportional to 469.92, 704.26 and 462.63 is: 693.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.92 : 704.26 = 462.63 : x
  2. Step 2: Convert to fraction form
    469.92/704.26 = 462.63/x
  3. Step 3: Cross multiply
    469.92x = 704.26 × 462.63
  4. Step 4: Simplify right side
    469.92x = 325,811.80
  5. Step 5: Solve for x
    x = 325,811.80/469.92
  6. Step 6: Final answer
    x = 693.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.