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Finding the Fourth Proportional to 683.04, 942.60 and 433.92

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Solution

The fourth proportional to 683.04, 942.60 and 433.92 is: 598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.04 : 942.60 = 433.92 : x
  2. Step 2: Convert to fraction form
    683.04/942.60 = 433.92/x
  3. Step 3: Cross multiply
    683.04x = 942.60 × 433.92
  4. Step 4: Simplify right side
    683.04x = 409,012.99
  5. Step 5: Solve for x
    x = 409,012.99/683.04
  6. Step 6: Final answer
    x = 598.81

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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.