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Finding the Fourth Proportional to 416.21, 574.60 and 258.98

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Solution

The fourth proportional to 416.21, 574.60 and 258.98 is: 357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.21 : 574.60 = 258.98 : x
  2. Step 2: Convert to fraction form
    416.21/574.60 = 258.98/x
  3. Step 3: Cross multiply
    416.21x = 574.60 × 258.98
  4. Step 4: Simplify right side
    416.21x = 148,809.98
  5. Step 5: Solve for x
    x = 148,809.98/416.21
  6. Step 6: Final answer
    x = 357.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.