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Finding the Fourth Proportional to 416.12, 574.40 and 305.60

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Solution

The fourth proportional to 416.12, 574.40 and 305.60 is: 421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.12 : 574.40 = 305.60 : x
  2. Step 2: Convert to fraction form
    416.12/574.40 = 305.60/x
  3. Step 3: Cross multiply
    416.12x = 574.40 × 305.60
  4. Step 4: Simplify right side
    416.12x = 175,536.64
  5. Step 5: Solve for x
    x = 175,536.64/416.12
  6. Step 6: Final answer
    x = 421.84

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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.