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Finding the Fourth Proportional to 682.29, 941.63 and 433.62

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Solution

The fourth proportional to 682.29, 941.63 and 433.62 is: 598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.29 : 941.63 = 433.62 : x
  2. Step 2: Convert to fraction form
    682.29/941.63 = 433.62/x
  3. Step 3: Cross multiply
    682.29x = 941.63 × 433.62
  4. Step 4: Simplify right side
    682.29x = 408,307.43
  5. Step 5: Solve for x
    x = 408,307.43/682.29
  6. Step 6: Final answer
    x = 598.44

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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.