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Finding the Fourth Proportional to 416.09, 573.75 and 298.10

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Solution

The fourth proportional to 416.09, 573.75 and 298.10 is: 411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.09 : 573.75 = 298.10 : x
  2. Step 2: Convert to fraction form
    416.09/573.75 = 298.10/x
  3. Step 3: Cross multiply
    416.09x = 573.75 × 298.10
  4. Step 4: Simplify right side
    416.09x = 171,032.01
  5. Step 5: Solve for x
    x = 171,032.01/416.09
  6. Step 6: Final answer
    x = 411.05

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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.