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Finding the Fourth Proportional to 416.54, 574.80 and 230.01

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Solution

The fourth proportional to 416.54, 574.80 and 230.01 is: 317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.54 : 574.80 = 230.01 : x
  2. Step 2: Convert to fraction form
    416.54/574.80 = 230.01/x
  3. Step 3: Cross multiply
    416.54x = 574.80 × 230.01
  4. Step 4: Simplify right side
    416.54x = 132,209.75
  5. Step 5: Solve for x
    x = 132,209.75/416.54
  6. Step 6: Final answer
    x = 317.40

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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.