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Finding the Fourth Proportional to 416.23, 574.41 and 258.88

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Solution

The fourth proportional to 416.23, 574.41 and 258.88 is: 357.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.23 : 574.41 = 258.88 : x
  2. Step 2: Convert to fraction form
    416.23/574.41 = 258.88/x
  3. Step 3: Cross multiply
    416.23x = 574.41 × 258.88
  4. Step 4: Simplify right side
    416.23x = 148,702.42
  5. Step 5: Solve for x
    x = 148,702.42/416.23
  6. Step 6: Final answer
    x = 357.26

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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.