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Finding the Fourth Proportional to 683.28, 941.94 and 434.58

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Solution

The fourth proportional to 683.28, 941.94 and 434.58 is: 599.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.28 : 941.94 = 434.58 : x
  2. Step 2: Convert to fraction form
    683.28/941.94 = 434.58/x
  3. Step 3: Cross multiply
    683.28x = 941.94 × 434.58
  4. Step 4: Simplify right side
    683.28x = 409,348.29
  5. Step 5: Solve for x
    x = 409,348.29/683.28
  6. Step 6: Final answer
    x = 599.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.