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Finding the Fourth Proportional to 416.86, 575.46 and 277.18

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Solution

The fourth proportional to 416.86, 575.46 and 277.18 is: 382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.86 : 575.46 = 277.18 : x
  2. Step 2: Convert to fraction form
    416.86/575.46 = 277.18/x
  3. Step 3: Cross multiply
    416.86x = 575.46 × 277.18
  4. Step 4: Simplify right side
    416.86x = 159,506.00
  5. Step 5: Solve for x
    x = 159,506.00/416.86
  6. Step 6: Final answer
    x = 382.64

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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.