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Finding the Fourth Proportional to 946.76, 1,420.13 and 330.29

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Solution

The fourth proportional to 946.76, 1,420.13 and 330.29 is: 495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.76 : 1,420.13 = 330.29 : x
  2. Step 2: Convert to fraction form
    946.76/1,420.13 = 330.29/x
  3. Step 3: Cross multiply
    946.76x = 1,420.13 × 330.29
  4. Step 4: Simplify right side
    946.76x = 469,045.99
  5. Step 5: Solve for x
    x = 469,045.99/946.76
  6. Step 6: Final answer
    x = 495.42

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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.