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Finding the Fourth Proportional to 416.02, 573.84 and 268.42

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Solution

The fourth proportional to 416.02, 573.84 and 268.42 is: 370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.02 : 573.84 = 268.42 : x
  2. Step 2: Convert to fraction form
    416.02/573.84 = 268.42/x
  3. Step 3: Cross multiply
    416.02x = 573.84 × 268.42
  4. Step 4: Simplify right side
    416.02x = 154,030.13
  5. Step 5: Solve for x
    x = 154,030.13/416.02
  6. Step 6: Final answer
    x = 370.25

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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.