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Finding the Fourth Proportional to 682.24, 941.28 and 406.24

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Solution

The fourth proportional to 682.24, 941.28 and 406.24 is: 560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.24 : 941.28 = 406.24 : x
  2. Step 2: Convert to fraction form
    682.24/941.28 = 406.24/x
  3. Step 3: Cross multiply
    682.24x = 941.28 × 406.24
  4. Step 4: Simplify right side
    682.24x = 382,385.59
  5. Step 5: Solve for x
    x = 382,385.59/682.24
  6. Step 6: Final answer
    x = 560.49

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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.