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Finding the Fourth Proportional to 471.05, 705.98 and 197.00

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Solution

The fourth proportional to 471.05, 705.98 and 197.00 is: 295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.05 : 705.98 = 197.00 : x
  2. Step 2: Convert to fraction form
    471.05/705.98 = 197.00/x
  3. Step 3: Cross multiply
    471.05x = 705.98 × 197.00
  4. Step 4: Simplify right side
    471.05x = 139,077.67
  5. Step 5: Solve for x
    x = 139,077.67/471.05
  6. Step 6: Final answer
    x = 295.25

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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.