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Finding the Fourth Proportional to 683.74, 943.80 and 435.04

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Solution

The fourth proportional to 683.74, 943.80 and 435.04 is: 600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.74 : 943.80 = 435.04 : x
  2. Step 2: Convert to fraction form
    683.74/943.80 = 435.04/x
  3. Step 3: Cross multiply
    683.74x = 943.80 × 435.04
  4. Step 4: Simplify right side
    683.74x = 410,590.75
  5. Step 5: Solve for x
    x = 410,590.75/683.74
  6. Step 6: Final answer
    x = 600.51

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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.