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Finding the Fourth Proportional to 294.02, 441 and 74.64

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Solution

The fourth proportional to 294.02, 441 and 74.64 is: 111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.02 : 441 = 74.64 : x
  2. Step 2: Convert to fraction form
    294.02/441 = 74.64/x
  3. Step 3: Cross multiply
    294.02x = 441 × 74.64
  4. Step 4: Simplify right side
    294.02x = 32,916.24
  5. Step 5: Solve for x
    x = 32,916.24/294.02
  6. Step 6: Final answer
    x = 111.95

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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.