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Finding the Fourth Proportional to 596.68, 889.80 and 535.25

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Solution

The fourth proportional to 596.68, 889.80 and 535.25 is: 798.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.68 : 889.80 = 535.25 : x
  2. Step 2: Convert to fraction form
    596.68/889.80 = 535.25/x
  3. Step 3: Cross multiply
    596.68x = 889.80 × 535.25
  4. Step 4: Simplify right side
    596.68x = 476,262.77
  5. Step 5: Solve for x
    x = 476,262.77/596.68
  6. Step 6: Final answer
    x = 798.19

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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.