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Finding the Fourth Proportional to 589.44, 878.31 and 524.82

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Solution

The fourth proportional to 589.44, 878.31 and 524.82 is: 782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.44 : 878.31 = 524.82 : x
  2. Step 2: Convert to fraction form
    589.44/878.31 = 524.82/x
  3. Step 3: Cross multiply
    589.44x = 878.31 × 524.82
  4. Step 4: Simplify right side
    589.44x = 460,954.65
  5. Step 5: Solve for x
    x = 460,954.65/589.44
  6. Step 6: Final answer
    x = 782.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.