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Finding the Fourth Proportional to 416.01, 574.38 and 258.91

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Solution

The fourth proportional to 416.01, 574.38 and 258.91 is: 357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.01 : 574.38 = 258.91 : x
  2. Step 2: Convert to fraction form
    416.01/574.38 = 258.91/x
  3. Step 3: Cross multiply
    416.01x = 574.38 × 258.91
  4. Step 4: Simplify right side
    416.01x = 148,711.29
  5. Step 5: Solve for x
    x = 148,711.29/416.01
  6. Step 6: Final answer
    x = 357.47

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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.