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Finding the Fourth Proportional to 418.14, 577.05 and 260.77

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Solution

The fourth proportional to 418.14, 577.05 and 260.77 is: 359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.14 : 577.05 = 260.77 : x
  2. Step 2: Convert to fraction form
    418.14/577.05 = 260.77/x
  3. Step 3: Cross multiply
    418.14x = 577.05 × 260.77
  4. Step 4: Simplify right side
    418.14x = 150,476.72
  5. Step 5: Solve for x
    x = 150,476.72/418.14
  6. Step 6: Final answer
    x = 359.87

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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.