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Finding the Fourth Proportional to 470.70, 649.58 and 296.05

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Solution

The fourth proportional to 470.70, 649.58 and 296.05 is: 408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.70 : 649.58 = 296.05 : x
  2. Step 2: Convert to fraction form
    470.70/649.58 = 296.05/x
  3. Step 3: Cross multiply
    470.70x = 649.58 × 296.05
  4. Step 4: Simplify right side
    470.70x = 192,308.16
  5. Step 5: Solve for x
    x = 192,308.16/470.70
  6. Step 6: Final answer
    x = 408.56

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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.