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Finding the Fourth Proportional to 573.51, 859.79 and 399.67

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Solution

The fourth proportional to 573.51, 859.79 and 399.67 is: 599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.51 : 859.79 = 399.67 : x
  2. Step 2: Convert to fraction form
    573.51/859.79 = 399.67/x
  3. Step 3: Cross multiply
    573.51x = 859.79 × 399.67
  4. Step 4: Simplify right side
    573.51x = 343,628.12
  5. Step 5: Solve for x
    x = 343,628.12/573.51
  6. Step 6: Final answer
    x = 599.17

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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.