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Finding the Fourth Proportional to 644.91, 967.64 and 463.74

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Solution

The fourth proportional to 644.91, 967.64 and 463.74 is: 695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.91 : 967.64 = 463.74 : x
  2. Step 2: Convert to fraction form
    644.91/967.64 = 463.74/x
  3. Step 3: Cross multiply
    644.91x = 967.64 × 463.74
  4. Step 4: Simplify right side
    644.91x = 448,731.05
  5. Step 5: Solve for x
    x = 448,731.05/644.91
  6. Step 6: Final answer
    x = 695.80

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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.