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Finding the Fourth Proportional to 946, 1,418.99 and 369.28

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Solution

The fourth proportional to 946, 1,418.99 and 369.28 is: 553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    946 : 1,418.99 = 369.28 : x
  2. Step 2: Convert to fraction form
    946/1,418.99 = 369.28/x
  3. Step 3: Cross multiply
    946x = 1,418.99 × 369.28
  4. Step 4: Simplify right side
    946x = 524,004.63
  5. Step 5: Solve for x
    x = 524,004.63/946
  6. Step 6: Final answer
    x = 553.92

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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.