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Finding the Fourth Proportional to 470.66, 649.15 and 412.34

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Solution

The fourth proportional to 470.66, 649.15 and 412.34 is: 568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.66 : 649.15 = 412.34 : x
  2. Step 2: Convert to fraction form
    470.66/649.15 = 412.34/x
  3. Step 3: Cross multiply
    470.66x = 649.15 × 412.34
  4. Step 4: Simplify right side
    470.66x = 267,666.23
  5. Step 5: Solve for x
    x = 267,666.23/470.66
  6. Step 6: Final answer
    x = 568.71

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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.