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Finding the Fourth Proportional to 946.60, 1,420.08 and 330.16

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Solution

The fourth proportional to 946.60, 1,420.08 and 330.16 is: 495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.60 : 1,420.08 = 330.16 : x
  2. Step 2: Convert to fraction form
    946.60/1,420.08 = 330.16/x
  3. Step 3: Cross multiply
    946.60x = 1,420.08 × 330.16
  4. Step 4: Simplify right side
    946.60x = 468,853.61
  5. Step 5: Solve for x
    x = 468,853.61/946.60
  6. Step 6: Final answer
    x = 495.30

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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.