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Finding the Fourth Proportional to 416.58, 574.83 and 230.06

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Solution

The fourth proportional to 416.58, 574.83 and 230.06 is: 317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.58 : 574.83 = 230.06 : x
  2. Step 2: Convert to fraction form
    416.58/574.83 = 230.06/x
  3. Step 3: Cross multiply
    416.58x = 574.83 × 230.06
  4. Step 4: Simplify right side
    416.58x = 132,242.52
  5. Step 5: Solve for x
    x = 132,242.52/416.58
  6. Step 6: Final answer
    x = 317.45

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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.