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Finding the Fourth Proportional to 573.69, 859.43 and 342.77

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Solution

The fourth proportional to 573.69, 859.43 and 342.77 is: 513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.69 : 859.43 = 342.77 : x
  2. Step 2: Convert to fraction form
    573.69/859.43 = 342.77/x
  3. Step 3: Cross multiply
    573.69x = 859.43 × 342.77
  4. Step 4: Simplify right side
    573.69x = 294,580.81
  5. Step 5: Solve for x
    x = 294,580.81/573.69
  6. Step 6: Final answer
    x = 513.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.