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Finding the Fourth Proportional to 301.08, 415.71 and 260.07

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Solution

The fourth proportional to 301.08, 415.71 and 260.07 is: 359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.08 : 415.71 = 260.07 : x
  2. Step 2: Convert to fraction form
    301.08/415.71 = 260.07/x
  3. Step 3: Cross multiply
    301.08x = 415.71 × 260.07
  4. Step 4: Simplify right side
    301.08x = 108,113.70
  5. Step 5: Solve for x
    x = 108,113.70/301.08
  6. Step 6: Final answer
    x = 359.09

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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.