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Finding the Fourth Proportional to 470.76, 706.12 and 192.91

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Solution

The fourth proportional to 470.76, 706.12 and 192.91 is: 289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.76 : 706.12 = 192.91 : x
  2. Step 2: Convert to fraction form
    470.76/706.12 = 192.91/x
  3. Step 3: Cross multiply
    470.76x = 706.12 × 192.91
  4. Step 4: Simplify right side
    470.76x = 136,214.70
  5. Step 5: Solve for x
    x = 136,214.70/470.76
  6. Step 6: Final answer
    x = 289.35

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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.