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Finding the Fourth Proportional to 418.16, 577.19 and 293.85

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Solution

The fourth proportional to 418.16, 577.19 and 293.85 is: 405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.16 : 577.19 = 293.85 : x
  2. Step 2: Convert to fraction form
    418.16/577.19 = 293.85/x
  3. Step 3: Cross multiply
    418.16x = 577.19 × 293.85
  4. Step 4: Simplify right side
    418.16x = 169,608.02
  5. Step 5: Solve for x
    x = 169,608.02/418.16
  6. Step 6: Final answer
    x = 405.60

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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.