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Finding the Fourth Proportional to 416.51, 574.82 and 230.03

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Solution

The fourth proportional to 416.51, 574.82 and 230.03 is: 317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.51 : 574.82 = 230.03 : x
  2. Step 2: Convert to fraction form
    416.51/574.82 = 230.03/x
  3. Step 3: Cross multiply
    416.51x = 574.82 × 230.03
  4. Step 4: Simplify right side
    416.51x = 132,225.84
  5. Step 5: Solve for x
    x = 132,225.84/416.51
  6. Step 6: Final answer
    x = 317.46

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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.