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Finding the Fourth Proportional to 573.10, 859.92 and 284.50

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Solution

The fourth proportional to 573.10, 859.92 and 284.50 is: 426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.10 : 859.92 = 284.50 : x
  2. Step 2: Convert to fraction form
    573.10/859.92 = 284.50/x
  3. Step 3: Cross multiply
    573.10x = 859.92 × 284.50
  4. Step 4: Simplify right side
    573.10x = 244,647.24
  5. Step 5: Solve for x
    x = 244,647.24/573.10
  6. Step 6: Final answer
    x = 426.88

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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.