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Finding the Fourth Proportional to 414.99, 573.08 and 260.01

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Solution

The fourth proportional to 414.99, 573.08 and 260.01 is: 359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.99 : 573.08 = 260.01 : x
  2. Step 2: Convert to fraction form
    414.99/573.08 = 260.01/x
  3. Step 3: Cross multiply
    414.99x = 573.08 × 260.01
  4. Step 4: Simplify right side
    414.99x = 149,005.23
  5. Step 5: Solve for x
    x = 149,005.23/414.99
  6. Step 6: Final answer
    x = 359.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.