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Finding the Fourth Proportional to 628.02, 940.14 and 464.94

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Solution

The fourth proportional to 628.02, 940.14 and 464.94 is: 696.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.02 : 940.14 = 464.94 : x
  2. Step 2: Convert to fraction form
    628.02/940.14 = 464.94/x
  3. Step 3: Cross multiply
    628.02x = 940.14 × 464.94
  4. Step 4: Simplify right side
    628.02x = 437,108.69
  5. Step 5: Solve for x
    x = 437,108.69/628.02
  6. Step 6: Final answer
    x = 696.01

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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.