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Finding the Fourth Proportional to 592.74, 889.38 and 535.50

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Solution

The fourth proportional to 592.74, 889.38 and 535.50 is: 803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.74 : 889.38 = 535.50 : x
  2. Step 2: Convert to fraction form
    592.74/889.38 = 535.50/x
  3. Step 3: Cross multiply
    592.74x = 889.38 × 535.50
  4. Step 4: Simplify right side
    592.74x = 476,262.99
  5. Step 5: Solve for x
    x = 476,262.99/592.74
  6. Step 6: Final answer
    x = 803.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.