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Finding the Fourth Proportional to 470.94, 706.49 and 146.24

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Solution

The fourth proportional to 470.94, 706.49 and 146.24 is: 219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.94 : 706.49 = 146.24 : x
  2. Step 2: Convert to fraction form
    470.94/706.49 = 146.24/x
  3. Step 3: Cross multiply
    470.94x = 706.49 × 146.24
  4. Step 4: Simplify right side
    470.94x = 103,316.37
  5. Step 5: Solve for x
    x = 103,316.37/470.94
  6. Step 6: Final answer
    x = 219.38

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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.