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Finding the Fourth Proportional to 416.14, 573.93 and 298.06

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Solution

The fourth proportional to 416.14, 573.93 and 298.06 is: 411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.14 : 573.93 = 298.06 : x
  2. Step 2: Convert to fraction form
    416.14/573.93 = 298.06/x
  3. Step 3: Cross multiply
    416.14x = 573.93 × 298.06
  4. Step 4: Simplify right side
    416.14x = 171,065.58
  5. Step 5: Solve for x
    x = 171,065.58/416.14
  6. Step 6: Final answer
    x = 411.08

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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.