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Finding the Fourth Proportional to 577.86, 865.98 and 414.78

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Solution

The fourth proportional to 577.86, 865.98 and 414.78 is: 621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.86 : 865.98 = 414.78 : x
  2. Step 2: Convert to fraction form
    577.86/865.98 = 414.78/x
  3. Step 3: Cross multiply
    577.86x = 865.98 × 414.78
  4. Step 4: Simplify right side
    577.86x = 359,191.18
  5. Step 5: Solve for x
    x = 359,191.18/577.86
  6. Step 6: Final answer
    x = 621.59

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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.