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Finding the Fourth Proportional to 577.60, 866.95 and 537.38

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Solution

The fourth proportional to 577.60, 866.95 and 537.38 is: 806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.60 : 866.95 = 537.38 : x
  2. Step 2: Convert to fraction form
    577.60/866.95 = 537.38/x
  3. Step 3: Cross multiply
    577.60x = 866.95 × 537.38
  4. Step 4: Simplify right side
    577.60x = 465,881.59
  5. Step 5: Solve for x
    x = 465,881.59/577.60
  6. Step 6: Final answer
    x = 806.58

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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.