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Finding the Fourth Proportional to 470.84, 706.39 and 162.77

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Solution

The fourth proportional to 470.84, 706.39 and 162.77 is: 244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.84 : 706.39 = 162.77 : x
  2. Step 2: Convert to fraction form
    470.84/706.39 = 162.77/x
  3. Step 3: Cross multiply
    470.84x = 706.39 × 162.77
  4. Step 4: Simplify right side
    470.84x = 114,975.16
  5. Step 5: Solve for x
    x = 114,975.16/470.84
  6. Step 6: Final answer
    x = 244.19

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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.