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Finding the Fourth Proportional to 437.68, 603.79 and 260.54

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Solution

The fourth proportional to 437.68, 603.79 and 260.54 is: 359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.68 : 603.79 = 260.54 : x
  2. Step 2: Convert to fraction form
    437.68/603.79 = 260.54/x
  3. Step 3: Cross multiply
    437.68x = 603.79 × 260.54
  4. Step 4: Simplify right side
    437.68x = 157,311.45
  5. Step 5: Solve for x
    x = 157,311.45/437.68
  6. Step 6: Final answer
    x = 359.42

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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.