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Finding the Fourth Proportional to 573.60, 859.70 and 284.42

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Solution

The fourth proportional to 573.60, 859.70 and 284.42 is: 426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.60 : 859.70 = 284.42 : x
  2. Step 2: Convert to fraction form
    573.60/859.70 = 284.42/x
  3. Step 3: Cross multiply
    573.60x = 859.70 × 284.42
  4. Step 4: Simplify right side
    573.60x = 244,515.87
  5. Step 5: Solve for x
    x = 244,515.87/573.60
  6. Step 6: Final answer
    x = 426.28

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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.