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Finding the Fourth Proportional to 418.77, 577.67 and 300.61

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Solution

The fourth proportional to 418.77, 577.67 and 300.61 is: 414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.77 : 577.67 = 300.61 : x
  2. Step 2: Convert to fraction form
    418.77/577.67 = 300.61/x
  3. Step 3: Cross multiply
    418.77x = 577.67 × 300.61
  4. Step 4: Simplify right side
    418.77x = 173,652.60
  5. Step 5: Solve for x
    x = 173,652.60/418.77
  6. Step 6: Final answer
    x = 414.67

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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.