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Finding the Fourth Proportional to 662.58, 993.88 and 175.70

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Solution

The fourth proportional to 662.58, 993.88 and 175.70 is: 263.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.58 : 993.88 = 175.70 : x
  2. Step 2: Convert to fraction form
    662.58/993.88 = 175.70/x
  3. Step 3: Cross multiply
    662.58x = 993.88 × 175.70
  4. Step 4: Simplify right side
    662.58x = 174,624.72
  5. Step 5: Solve for x
    x = 174,624.72/662.58
  6. Step 6: Final answer
    x = 263.55

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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.