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Finding the Fourth Proportional to 632.08, 946.26 and 470.44

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Solution

The fourth proportional to 632.08, 946.26 and 470.44 is: 704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.08 : 946.26 = 470.44 : x
  2. Step 2: Convert to fraction form
    632.08/946.26 = 470.44/x
  3. Step 3: Cross multiply
    632.08x = 946.26 × 470.44
  4. Step 4: Simplify right side
    632.08x = 445,158.55
  5. Step 5: Solve for x
    x = 445,158.55/632.08
  6. Step 6: Final answer
    x = 704.28

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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.