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Finding the Fourth Proportional to 573.09, 859.46 and 188.25

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Solution

The fourth proportional to 573.09, 859.46 and 188.25 is: 282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.09 : 859.46 = 188.25 : x
  2. Step 2: Convert to fraction form
    573.09/859.46 = 188.25/x
  3. Step 3: Cross multiply
    573.09x = 859.46 × 188.25
  4. Step 4: Simplify right side
    573.09x = 161,792.40
  5. Step 5: Solve for x
    x = 161,792.40/573.09
  6. Step 6: Final answer
    x = 282.32

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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.