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Finding the Fourth Proportional to 682.17, 941.10 and 433.64

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Solution

The fourth proportional to 682.17, 941.10 and 433.64 is: 598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.17 : 941.10 = 433.64 : x
  2. Step 2: Convert to fraction form
    682.17/941.10 = 433.64/x
  3. Step 3: Cross multiply
    682.17x = 941.10 × 433.64
  4. Step 4: Simplify right side
    682.17x = 408,093.90
  5. Step 5: Solve for x
    x = 408,093.90/682.17
  6. Step 6: Final answer
    x = 598.23

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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.