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Finding the Fourth Proportional to 470.98, 706.31 and 210.82

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Solution

The fourth proportional to 470.98, 706.31 and 210.82 is: 316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.98 : 706.31 = 210.82 : x
  2. Step 2: Convert to fraction form
    470.98/706.31 = 210.82/x
  3. Step 3: Cross multiply
    470.98x = 706.31 × 210.82
  4. Step 4: Simplify right side
    470.98x = 148,904.27
  5. Step 5: Solve for x
    x = 148,904.27/470.98
  6. Step 6: Final answer
    x = 316.16

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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.