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Finding the Fourth Proportional to 628.45, 943.34 and 464.11

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Solution

The fourth proportional to 628.45, 943.34 and 464.11 is: 696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.45 : 943.34 = 464.11 : x
  2. Step 2: Convert to fraction form
    628.45/943.34 = 464.11/x
  3. Step 3: Cross multiply
    628.45x = 943.34 × 464.11
  4. Step 4: Simplify right side
    628.45x = 437,809.26
  5. Step 5: Solve for x
    x = 437,809.26/628.45
  6. Step 6: Final answer
    x = 696.65

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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.