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Finding the Fourth Proportional to 628.19, 941.93 and 462.14

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Solution

The fourth proportional to 628.19, 941.93 and 462.14 is: 692.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.19 : 941.93 = 462.14 : x
  2. Step 2: Convert to fraction form
    628.19/941.93 = 462.14/x
  3. Step 3: Cross multiply
    628.19x = 941.93 × 462.14
  4. Step 4: Simplify right side
    628.19x = 435,301.78
  5. Step 5: Solve for x
    x = 435,301.78/628.19
  6. Step 6: Final answer
    x = 692.95

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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.