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Finding the Fourth Proportional to 416.07, 574.14 and 258.93

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Solution

The fourth proportional to 416.07, 574.14 and 258.93 is: 357.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.07 : 574.14 = 258.93 : x
  2. Step 2: Convert to fraction form
    416.07/574.14 = 258.93/x
  3. Step 3: Cross multiply
    416.07x = 574.14 × 258.93
  4. Step 4: Simplify right side
    416.07x = 148,662.07
  5. Step 5: Solve for x
    x = 148,662.07/416.07
  6. Step 6: Final answer
    x = 357.30

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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.