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Finding the Fourth Proportional to 573.24, 790.86 and 366.36

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Solution

The fourth proportional to 573.24, 790.86 and 366.36 is: 505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.24 : 790.86 = 366.36 : x
  2. Step 2: Convert to fraction form
    573.24/790.86 = 366.36/x
  3. Step 3: Cross multiply
    573.24x = 790.86 × 366.36
  4. Step 4: Simplify right side
    573.24x = 289,739.47
  5. Step 5: Solve for x
    x = 289,739.47/573.24
  6. Step 6: Final answer
    x = 505.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.