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Finding the Fourth Proportional to 416.40, 574 and 276.24

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Solution

The fourth proportional to 416.40, 574 and 276.24 is: 380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.40 : 574 = 276.24 : x
  2. Step 2: Convert to fraction form
    416.40/574 = 276.24/x
  3. Step 3: Cross multiply
    416.40x = 574 × 276.24
  4. Step 4: Simplify right side
    416.40x = 158,561.76
  5. Step 5: Solve for x
    x = 158,561.76/416.40
  6. Step 6: Final answer
    x = 380.79

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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.