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Finding the Fourth Proportional to 573.77, 859.02 and 537.44

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Solution

The fourth proportional to 573.77, 859.02 and 537.44 is: 804.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.77 : 859.02 = 537.44 : x
  2. Step 2: Convert to fraction form
    573.77/859.02 = 537.44/x
  3. Step 3: Cross multiply
    573.77x = 859.02 × 537.44
  4. Step 4: Simplify right side
    573.77x = 461,671.71
  5. Step 5: Solve for x
    x = 461,671.71/573.77
  6. Step 6: Final answer
    x = 804.63

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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.