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Finding the Fourth Proportional to 418.10, 577.19 and 260.82

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Solution

The fourth proportional to 418.10, 577.19 and 260.82 is: 360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.10 : 577.19 = 260.82 : x
  2. Step 2: Convert to fraction form
    418.10/577.19 = 260.82/x
  3. Step 3: Cross multiply
    418.10x = 577.19 × 260.82
  4. Step 4: Simplify right side
    418.10x = 150,543.35
  5. Step 5: Solve for x
    x = 150,543.35/418.10
  6. Step 6: Final answer
    x = 360.07

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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.