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Finding the Fourth Proportional to 596.26, 889.37 and 578.04

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Solution

The fourth proportional to 596.26, 889.37 and 578.04 is: 862.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.26 : 889.37 = 578.04 : x
  2. Step 2: Convert to fraction form
    596.26/889.37 = 578.04/x
  3. Step 3: Cross multiply
    596.26x = 889.37 × 578.04
  4. Step 4: Simplify right side
    596.26x = 514,084.10
  5. Step 5: Solve for x
    x = 514,084.10/596.26
  6. Step 6: Final answer
    x = 862.18

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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.