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Finding the Fourth Proportional to 418.64, 577.42 and 320.22

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Solution

The fourth proportional to 418.64, 577.42 and 320.22 is: 441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.64 : 577.42 = 320.22 : x
  2. Step 2: Convert to fraction form
    418.64/577.42 = 320.22/x
  3. Step 3: Cross multiply
    418.64x = 577.42 × 320.22
  4. Step 4: Simplify right side
    418.64x = 184,900.63
  5. Step 5: Solve for x
    x = 184,900.63/418.64
  6. Step 6: Final answer
    x = 441.68

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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.