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Finding the Fourth Proportional to 470.98, 706.47 and 146.35

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Solution

The fourth proportional to 470.98, 706.47 and 146.35 is: 219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.98 : 706.47 = 146.35 : x
  2. Step 2: Convert to fraction form
    470.98/706.47 = 146.35/x
  3. Step 3: Cross multiply
    470.98x = 706.47 × 146.35
  4. Step 4: Simplify right side
    470.98x = 103,391.88
  5. Step 5: Solve for x
    x = 103,391.88/470.98
  6. Step 6: Final answer
    x = 219.53

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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.