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Finding the Fourth Proportional to 946.33, 1,419.64 and 253.05

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Solution

The fourth proportional to 946.33, 1,419.64 and 253.05 is: 379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.33 : 1,419.64 = 253.05 : x
  2. Step 2: Convert to fraction form
    946.33/1,419.64 = 253.05/x
  3. Step 3: Cross multiply
    946.33x = 1,419.64 × 253.05
  4. Step 4: Simplify right side
    946.33x = 359,238.64
  5. Step 5: Solve for x
    x = 359,238.64/946.33
  6. Step 6: Final answer
    x = 379.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.