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Finding the Fourth Proportional to 418.44, 577.72 and 405.72

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Solution

The fourth proportional to 418.44, 577.72 and 405.72 is: 560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.44 : 577.72 = 405.72 : x
  2. Step 2: Convert to fraction form
    418.44/577.72 = 405.72/x
  3. Step 3: Cross multiply
    418.44x = 577.72 × 405.72
  4. Step 4: Simplify right side
    418.44x = 234,392.56
  5. Step 5: Solve for x
    x = 234,392.56/418.44
  6. Step 6: Final answer
    x = 560.16

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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.