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Finding the Fourth Proportional to 660.58, 990.88 and 173.63

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Solution

The fourth proportional to 660.58, 990.88 and 173.63 is: 260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.58 : 990.88 = 173.63 : x
  2. Step 2: Convert to fraction form
    660.58/990.88 = 173.63/x
  3. Step 3: Cross multiply
    660.58x = 990.88 × 173.63
  4. Step 4: Simplify right side
    660.58x = 172,048.54
  5. Step 5: Solve for x
    x = 172,048.54/660.58
  6. Step 6: Final answer
    x = 260.45

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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.