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Finding the Fourth Proportional to 682.04, 941.09 and 433.17

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Solution

The fourth proportional to 682.04, 941.09 and 433.17 is: 597.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.04 : 941.09 = 433.17 : x
  2. Step 2: Convert to fraction form
    682.04/941.09 = 433.17/x
  3. Step 3: Cross multiply
    682.04x = 941.09 × 433.17
  4. Step 4: Simplify right side
    682.04x = 407,649.79
  5. Step 5: Solve for x
    x = 407,649.79/682.04
  6. Step 6: Final answer
    x = 597.69

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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.