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Finding the Fourth Proportional to 418.53, 577.47 and 356.25

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Solution

The fourth proportional to 418.53, 577.47 and 356.25 is: 491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.53 : 577.47 = 356.25 : x
  2. Step 2: Convert to fraction form
    418.53/577.47 = 356.25/x
  3. Step 3: Cross multiply
    418.53x = 577.47 × 356.25
  4. Step 4: Simplify right side
    418.53x = 205,723.69
  5. Step 5: Solve for x
    x = 205,723.69/418.53
  6. Step 6: Final answer
    x = 491.54

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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.