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Finding the Fourth Proportional to 683.88, 942.99 and 434.88

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Solution

The fourth proportional to 683.88, 942.99 and 434.88 is: 599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.88 : 942.99 = 434.88 : x
  2. Step 2: Convert to fraction form
    683.88/942.99 = 434.88/x
  3. Step 3: Cross multiply
    683.88x = 942.99 × 434.88
  4. Step 4: Simplify right side
    683.88x = 410,087.49
  5. Step 5: Solve for x
    x = 410,087.49/683.88
  6. Step 6: Final answer
    x = 599.65

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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.