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Finding the Fourth Proportional to 643.92, 889.33 and 498.32

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Solution

The fourth proportional to 643.92, 889.33 and 498.32 is: 688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.92 : 889.33 = 498.32 : x
  2. Step 2: Convert to fraction form
    643.92/889.33 = 498.32/x
  3. Step 3: Cross multiply
    643.92x = 889.33 × 498.32
  4. Step 4: Simplify right side
    643.92x = 443,169.50
  5. Step 5: Solve for x
    x = 443,169.50/643.92
  6. Step 6: Final answer
    x = 688.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.