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Finding the Fourth Proportional to 577.74, 865.37 and 414.86

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Solution

The fourth proportional to 577.74, 865.37 and 414.86 is: 621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.74 : 865.37 = 414.86 : x
  2. Step 2: Convert to fraction form
    577.74/865.37 = 414.86/x
  3. Step 3: Cross multiply
    577.74x = 865.37 × 414.86
  4. Step 4: Simplify right side
    577.74x = 359,007.40
  5. Step 5: Solve for x
    x = 359,007.40/577.74
  6. Step 6: Final answer
    x = 621.40

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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.