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Finding the Fourth Proportional to 470.72, 705.61 and 197.00

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Solution

The fourth proportional to 470.72, 705.61 and 197.00 is: 295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.72 : 705.61 = 197.00 : x
  2. Step 2: Convert to fraction form
    470.72/705.61 = 197.00/x
  3. Step 3: Cross multiply
    470.72x = 705.61 × 197.00
  4. Step 4: Simplify right side
    470.72x = 139,001.15
  5. Step 5: Solve for x
    x = 139,001.15/470.72
  6. Step 6: Final answer
    x = 295.29

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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.