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Finding the Fourth Proportional to 416.84, 575.18 and 259.42

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Solution

The fourth proportional to 416.84, 575.18 and 259.42 is: 357.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.84 : 575.18 = 259.42 : x
  2. Step 2: Convert to fraction form
    416.84/575.18 = 259.42/x
  3. Step 3: Cross multiply
    416.84x = 575.18 × 259.42
  4. Step 4: Simplify right side
    416.84x = 149,213.20
  5. Step 5: Solve for x
    x = 149,213.20/416.84
  6. Step 6: Final answer
    x = 357.96

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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.