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Finding the Fourth Proportional to 573.26, 790.89 and 352.26

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Solution

The fourth proportional to 573.26, 790.89 and 352.26 is: 485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.26 : 790.89 = 352.26 : x
  2. Step 2: Convert to fraction form
    573.26/790.89 = 352.26/x
  3. Step 3: Cross multiply
    573.26x = 790.89 × 352.26
  4. Step 4: Simplify right side
    573.26x = 278,598.91
  5. Step 5: Solve for x
    x = 278,598.91/573.26
  6. Step 6: Final answer
    x = 485.99

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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.