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Finding the Fourth Proportional to 577.90, 866.62 and 454.74

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Solution

The fourth proportional to 577.90, 866.62 and 454.74 is: 681.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.90 : 866.62 = 454.74 : x
  2. Step 2: Convert to fraction form
    577.90/866.62 = 454.74/x
  3. Step 3: Cross multiply
    577.90x = 866.62 × 454.74
  4. Step 4: Simplify right side
    577.90x = 394,087.77
  5. Step 5: Solve for x
    x = 394,087.77/577.90
  6. Step 6: Final answer
    x = 681.94

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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.