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Finding the Fourth Proportional to 416, 573.86 and 260.48

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Solution

The fourth proportional to 416, 573.86 and 260.48 is: 359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416 : 573.86 = 260.48 : x
  2. Step 2: Convert to fraction form
    416/573.86 = 260.48/x
  3. Step 3: Cross multiply
    416x = 573.86 × 260.48
  4. Step 4: Simplify right side
    416x = 149,479.05
  5. Step 5: Solve for x
    x = 149,479.05/416
  6. Step 6: Final answer
    x = 359.32

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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.