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Finding the Fourth Proportional to 573.37, 859.89 and 265.37

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Solution

The fourth proportional to 573.37, 859.89 and 265.37 is: 397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.37 : 859.89 = 265.37 : x
  2. Step 2: Convert to fraction form
    573.37/859.89 = 265.37/x
  3. Step 3: Cross multiply
    573.37x = 859.89 × 265.37
  4. Step 4: Simplify right side
    573.37x = 228,184.71
  5. Step 5: Solve for x
    x = 228,184.71/573.37
  6. Step 6: Final answer
    x = 397.97

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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.