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Finding the Fourth Proportional to 470.84, 706.36 and 162.92

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Solution

The fourth proportional to 470.84, 706.36 and 162.92 is: 244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.84 : 706.36 = 162.92 : x
  2. Step 2: Convert to fraction form
    470.84/706.36 = 162.92/x
  3. Step 3: Cross multiply
    470.84x = 706.36 × 162.92
  4. Step 4: Simplify right side
    470.84x = 115,080.17
  5. Step 5: Solve for x
    x = 115,080.17/470.84
  6. Step 6: Final answer
    x = 244.41

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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.