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Finding the Fourth Proportional to 470.81, 650.03 and 296.46

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Solution

The fourth proportional to 470.81, 650.03 and 296.46 is: 409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.81 : 650.03 = 296.46 : x
  2. Step 2: Convert to fraction form
    470.81/650.03 = 296.46/x
  3. Step 3: Cross multiply
    470.81x = 650.03 × 296.46
  4. Step 4: Simplify right side
    470.81x = 192,706.41
  5. Step 5: Solve for x
    x = 192,706.41/470.81
  6. Step 6: Final answer
    x = 409.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.