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Finding the Fourth Proportional to 632.24, 946.52 and 470.64

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Solution

The fourth proportional to 632.24, 946.52 and 470.64 is: 704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.24 : 946.52 = 470.64 : x
  2. Step 2: Convert to fraction form
    632.24/946.52 = 470.64/x
  3. Step 3: Cross multiply
    632.24x = 946.52 × 470.64
  4. Step 4: Simplify right side
    632.24x = 445,470.17
  5. Step 5: Solve for x
    x = 445,470.17/632.24
  6. Step 6: Final answer
    x = 704.59

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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.