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Finding the Fourth Proportional to 600.90, 902.70 and 577.95

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Solution

The fourth proportional to 600.90, 902.70 and 577.95 is: 868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.90 : 902.70 = 577.95 : x
  2. Step 2: Convert to fraction form
    600.90/902.70 = 577.95/x
  3. Step 3: Cross multiply
    600.90x = 902.70 × 577.95
  4. Step 4: Simplify right side
    600.90x = 521,715.47
  5. Step 5: Solve for x
    x = 521,715.47/600.90
  6. Step 6: Final answer
    x = 868.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.