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Finding the Fourth Proportional to 601.53, 896.49 and 589.38

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Solution

The fourth proportional to 601.53, 896.49 and 589.38 is: 878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.53 : 896.49 = 589.38 : x
  2. Step 2: Convert to fraction form
    601.53/896.49 = 589.38/x
  3. Step 3: Cross multiply
    601.53x = 896.49 × 589.38
  4. Step 4: Simplify right side
    601.53x = 528,371.57
  5. Step 5: Solve for x
    x = 528,371.57/601.53
  6. Step 6: Final answer
    x = 878.38

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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.