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Finding the Fourth Proportional to 470.55, 706 and 196.57

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Solution

The fourth proportional to 470.55, 706 and 196.57 is: 294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.55 : 706 = 196.57 : x
  2. Step 2: Convert to fraction form
    470.55/706 = 196.57/x
  3. Step 3: Cross multiply
    470.55x = 706 × 196.57
  4. Step 4: Simplify right side
    470.55x = 138,774.89
  5. Step 5: Solve for x
    x = 138,774.89/470.55
  6. Step 6: Final answer
    x = 294.92

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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.