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Finding the Fourth Proportional to 628.97, 941.63 and 464.54

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Solution

The fourth proportional to 628.97, 941.63 and 464.54 is: 695.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.97 : 941.63 = 464.54 : x
  2. Step 2: Convert to fraction form
    628.97/941.63 = 464.54/x
  3. Step 3: Cross multiply
    628.97x = 941.63 × 464.54
  4. Step 4: Simplify right side
    628.97x = 437,417.77
  5. Step 5: Solve for x
    x = 437,417.77/628.97
  6. Step 6: Final answer
    x = 695.46

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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.