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Finding the Fourth Proportional to 700.95, 967.46 and 464.91

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Solution

The fourth proportional to 700.95, 967.46 and 464.91 is: 641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.95 : 967.46 = 464.91 : x
  2. Step 2: Convert to fraction form
    700.95/967.46 = 464.91/x
  3. Step 3: Cross multiply
    700.95x = 967.46 × 464.91
  4. Step 4: Simplify right side
    700.95x = 449,786.65
  5. Step 5: Solve for x
    x = 449,786.65/700.95
  6. Step 6: Final answer
    x = 641.68

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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.