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Finding the Fourth Proportional to 660.10, 990.46 and 294.85

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Solution

The fourth proportional to 660.10, 990.46 and 294.85 is: 442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.10 : 990.46 = 294.85 : x
  2. Step 2: Convert to fraction form
    660.10/990.46 = 294.85/x
  3. Step 3: Cross multiply
    660.10x = 990.46 × 294.85
  4. Step 4: Simplify right side
    660.10x = 292,037.13
  5. Step 5: Solve for x
    x = 292,037.13/660.10
  6. Step 6: Final answer
    x = 442.41

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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.