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Finding the Fourth Proportional to 573.20, 859.86 and 265.14

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Solution

The fourth proportional to 573.20, 859.86 and 265.14 is: 397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.20 : 859.86 = 265.14 : x
  2. Step 2: Convert to fraction form
    573.20/859.86 = 265.14/x
  3. Step 3: Cross multiply
    573.20x = 859.86 × 265.14
  4. Step 4: Simplify right side
    573.20x = 227,983.28
  5. Step 5: Solve for x
    x = 227,983.28/573.20
  6. Step 6: Final answer
    x = 397.74

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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.