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Finding the Fourth Proportional to 416.81, 575.06 and 277.00

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Solution

The fourth proportional to 416.81, 575.06 and 277.00 is: 382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.81 : 575.06 = 277.00 : x
  2. Step 2: Convert to fraction form
    416.81/575.06 = 277.00/x
  3. Step 3: Cross multiply
    416.81x = 575.06 × 277.00
  4. Step 4: Simplify right side
    416.81x = 159,288.80
  5. Step 5: Solve for x
    x = 159,288.80/416.81
  6. Step 6: Final answer
    x = 382.16

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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.