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Finding the Fourth Proportional to 470.94, 705.19 and 325.14

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Solution

The fourth proportional to 470.94, 705.19 and 325.14 is: 486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.94 : 705.19 = 325.14 : x
  2. Step 2: Convert to fraction form
    470.94/705.19 = 325.14/x
  3. Step 3: Cross multiply
    470.94x = 705.19 × 325.14
  4. Step 4: Simplify right side
    470.94x = 229,285.48
  5. Step 5: Solve for x
    x = 229,285.48/470.94
  6. Step 6: Final answer
    x = 486.87

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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.