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Finding the Fourth Proportional to 418.94, 577.05 and 300.74

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Solution

The fourth proportional to 418.94, 577.05 and 300.74 is: 414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.94 : 577.05 = 300.74 : x
  2. Step 2: Convert to fraction form
    418.94/577.05 = 300.74/x
  3. Step 3: Cross multiply
    418.94x = 577.05 × 300.74
  4. Step 4: Simplify right side
    418.94x = 173,542.02
  5. Step 5: Solve for x
    x = 173,542.02/418.94
  6. Step 6: Final answer
    x = 414.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.