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Finding the Fourth Proportional to 577.86, 863.18 and 414.24

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Solution

The fourth proportional to 577.86, 863.18 and 414.24 is: 618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.86 : 863.18 = 414.24 : x
  2. Step 2: Convert to fraction form
    577.86/863.18 = 414.24/x
  3. Step 3: Cross multiply
    577.86x = 863.18 × 414.24
  4. Step 4: Simplify right side
    577.86x = 357,561.61
  5. Step 5: Solve for x
    x = 357,561.61/577.86
  6. Step 6: Final answer
    x = 618.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.