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Finding the Fourth Proportional to 470.70, 706.86 and 450.45

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Solution

The fourth proportional to 470.70, 706.86 and 450.45 is: 676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.70 : 706.86 = 450.45 : x
  2. Step 2: Convert to fraction form
    470.70/706.86 = 450.45/x
  3. Step 3: Cross multiply
    470.70x = 706.86 × 450.45
  4. Step 4: Simplify right side
    470.70x = 318,405.09
  5. Step 5: Solve for x
    x = 318,405.09/470.70
  6. Step 6: Final answer
    x = 676.45

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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.