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Finding the Fourth Proportional to 662.16, 990.32 and 589.52

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Solution

The fourth proportional to 662.16, 990.32 and 589.52 is: 881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.16 : 990.32 = 589.52 : x
  2. Step 2: Convert to fraction form
    662.16/990.32 = 589.52/x
  3. Step 3: Cross multiply
    662.16x = 990.32 × 589.52
  4. Step 4: Simplify right side
    662.16x = 583,809.97
  5. Step 5: Solve for x
    x = 583,809.97/662.16
  6. Step 6: Final answer
    x = 881.68

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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.