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Finding the Fourth Proportional to 470.44, 705.66 and 459.64

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Solution

The fourth proportional to 470.44, 705.66 and 459.64 is: 689.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.44 : 705.66 = 459.64 : x
  2. Step 2: Convert to fraction form
    470.44/705.66 = 459.64/x
  3. Step 3: Cross multiply
    470.44x = 705.66 × 459.64
  4. Step 4: Simplify right side
    470.44x = 324,349.56
  5. Step 5: Solve for x
    x = 324,349.56/470.44
  6. Step 6: Final answer
    x = 689.46

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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.