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Finding the Fourth Proportional to 470.07, 703.89 and 324.27

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Solution

The fourth proportional to 470.07, 703.89 and 324.27 is: 485.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.07 : 703.89 = 324.27 : x
  2. Step 2: Convert to fraction form
    470.07/703.89 = 324.27/x
  3. Step 3: Cross multiply
    470.07x = 703.89 × 324.27
  4. Step 4: Simplify right side
    470.07x = 228,248.79
  5. Step 5: Solve for x
    x = 228,248.79/470.07
  6. Step 6: Final answer
    x = 485.56

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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.