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Finding the Fourth Proportional to 416.67, 574.53 and 377.79

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Solution

The fourth proportional to 416.67, 574.53 and 377.79 is: 520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.67 : 574.53 = 377.79 : x
  2. Step 2: Convert to fraction form
    416.67/574.53 = 377.79/x
  3. Step 3: Cross multiply
    416.67x = 574.53 × 377.79
  4. Step 4: Simplify right side
    416.67x = 217,051.69
  5. Step 5: Solve for x
    x = 217,051.69/416.67
  6. Step 6: Final answer
    x = 520.92

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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.