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Finding the Fourth Proportional to 418.42, 577.10 and 300.16

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Solution

The fourth proportional to 418.42, 577.10 and 300.16 is: 413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.42 : 577.10 = 300.16 : x
  2. Step 2: Convert to fraction form
    418.42/577.10 = 300.16/x
  3. Step 3: Cross multiply
    418.42x = 577.10 × 300.16
  4. Step 4: Simplify right side
    418.42x = 173,219.72
  5. Step 5: Solve for x
    x = 173,219.72/418.42
  6. Step 6: Final answer
    x = 413.99

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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.