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Finding the Fourth Proportional to 573.60, 861.68 and 552

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Solution

The fourth proportional to 573.60, 861.68 and 552 is: 829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.60 : 861.68 = 552 : x
  2. Step 2: Convert to fraction form
    573.60/861.68 = 552/x
  3. Step 3: Cross multiply
    573.60x = 861.68 × 552
  4. Step 4: Simplify right side
    573.60x = 475,647.36
  5. Step 5: Solve for x
    x = 475,647.36/573.60
  6. Step 6: Final answer
    x = 829.23

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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.