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Finding the Fourth Proportional to 330.36, 492.72 and 279.36

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Solution

The fourth proportional to 330.36, 492.72 and 279.36 is: 416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.36 : 492.72 = 279.36 : x
  2. Step 2: Convert to fraction form
    330.36/492.72 = 279.36/x
  3. Step 3: Cross multiply
    330.36x = 492.72 × 279.36
  4. Step 4: Simplify right side
    330.36x = 137,646.26
  5. Step 5: Solve for x
    x = 137,646.26/330.36
  6. Step 6: Final answer
    x = 416.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.