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Finding the Fourth Proportional to 416.16, 571.68 and 357.12

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Solution

The fourth proportional to 416.16, 571.68 and 357.12 is: 490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.16 : 571.68 = 357.12 : x
  2. Step 2: Convert to fraction form
    416.16/571.68 = 357.12/x
  3. Step 3: Cross multiply
    416.16x = 571.68 × 357.12
  4. Step 4: Simplify right side
    416.16x = 204,158.36
  5. Step 5: Solve for x
    x = 204,158.36/416.16
  6. Step 6: Final answer
    x = 490.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.