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Finding the Fourth Proportional to 414.02, 571.10 and 258.50

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Solution

The fourth proportional to 414.02, 571.10 and 258.50 is: 356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.02 : 571.10 = 258.50 : x
  2. Step 2: Convert to fraction form
    414.02/571.10 = 258.50/x
  3. Step 3: Cross multiply
    414.02x = 571.10 × 258.50
  4. Step 4: Simplify right side
    414.02x = 147,629.35
  5. Step 5: Solve for x
    x = 147,629.35/414.02
  6. Step 6: Final answer
    x = 356.58

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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.