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Finding the Fourth Proportional to 573.83, 859.79 and 299.51

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Solution

The fourth proportional to 573.83, 859.79 and 299.51 is: 448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.83 : 859.79 = 299.51 : x
  2. Step 2: Convert to fraction form
    573.83/859.79 = 299.51/x
  3. Step 3: Cross multiply
    573.83x = 859.79 × 299.51
  4. Step 4: Simplify right side
    573.83x = 257,512.15
  5. Step 5: Solve for x
    x = 257,512.15/573.83
  6. Step 6: Final answer
    x = 448.76

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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.