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Finding the Fourth Proportional to 946.05, 1,419.08 and 360.92

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Solution

The fourth proportional to 946.05, 1,419.08 and 360.92 is: 541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.05 : 1,419.08 = 360.92 : x
  2. Step 2: Convert to fraction form
    946.05/1,419.08 = 360.92/x
  3. Step 3: Cross multiply
    946.05x = 1,419.08 × 360.92
  4. Step 4: Simplify right side
    946.05x = 512,165.45
  5. Step 5: Solve for x
    x = 512,165.45/946.05
  6. Step 6: Final answer
    x = 541.37

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Why These Related Problems?

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