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Finding the Fourth Proportional to 470.84, 705.99 and 326.12

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Solution

The fourth proportional to 470.84, 705.99 and 326.12 is: 488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.84 : 705.99 = 326.12 : x
  2. Step 2: Convert to fraction form
    470.84/705.99 = 326.12/x
  3. Step 3: Cross multiply
    470.84x = 705.99 × 326.12
  4. Step 4: Simplify right side
    470.84x = 230,237.46
  5. Step 5: Solve for x
    x = 230,237.46/470.84
  6. Step 6: Final answer
    x = 488.99

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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.