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Finding the Fourth Proportional to 577.04, 869.82 and 543.60

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Solution

The fourth proportional to 577.04, 869.82 and 543.60 is: 819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.04 : 869.82 = 543.60 : x
  2. Step 2: Convert to fraction form
    577.04/869.82 = 543.60/x
  3. Step 3: Cross multiply
    577.04x = 869.82 × 543.60
  4. Step 4: Simplify right side
    577.04x = 472,834.15
  5. Step 5: Solve for x
    x = 472,834.15/577.04
  6. Step 6: Final answer
    x = 819.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.