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Finding the Fourth Proportional to 303.96, 419.76 and 260.04

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Solution

The fourth proportional to 303.96, 419.76 and 260.04 is: 359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.96 : 419.76 = 260.04 : x
  2. Step 2: Convert to fraction form
    303.96/419.76 = 260.04/x
  3. Step 3: Cross multiply
    303.96x = 419.76 × 260.04
  4. Step 4: Simplify right side
    303.96x = 109,154.39
  5. Step 5: Solve for x
    x = 109,154.39/303.96
  6. Step 6: Final answer
    x = 359.11

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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.