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Finding the Fourth Proportional to 589.29, 811.36 and 448.96

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Solution

The fourth proportional to 589.29, 811.36 and 448.96 is: 618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.29 : 811.36 = 448.96 : x
  2. Step 2: Convert to fraction form
    589.29/811.36 = 448.96/x
  3. Step 3: Cross multiply
    589.29x = 811.36 × 448.96
  4. Step 4: Simplify right side
    589.29x = 364,262.67
  5. Step 5: Solve for x
    x = 364,262.67/589.29
  6. Step 6: Final answer
    x = 618.14

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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.