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Finding the Fourth Proportional to 416.50, 574.65 and 259.16

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Solution

The fourth proportional to 416.50, 574.65 and 259.16 is: 357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.50 : 574.65 = 259.16 : x
  2. Step 2: Convert to fraction form
    416.50/574.65 = 259.16/x
  3. Step 3: Cross multiply
    416.50x = 574.65 × 259.16
  4. Step 4: Simplify right side
    416.50x = 148,923.42
  5. Step 5: Solve for x
    x = 148,923.42/416.50
  6. Step 6: Final answer
    x = 357.56

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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.