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Finding the Fourth Proportional to 596.94, 889.25 and 578.80

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Solution

The fourth proportional to 596.94, 889.25 and 578.80 is: 862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.94 : 889.25 = 578.80 : x
  2. Step 2: Convert to fraction form
    596.94/889.25 = 578.80/x
  3. Step 3: Cross multiply
    596.94x = 889.25 × 578.80
  4. Step 4: Simplify right side
    596.94x = 514,703.21
  5. Step 5: Solve for x
    x = 514,703.21/596.94
  6. Step 6: Final answer
    x = 862.24

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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.