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Finding the Fourth Proportional to 682.04, 941.54 and 433.48

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Solution

The fourth proportional to 682.04, 941.54 and 433.48 is: 598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.04 : 941.54 = 433.48 : x
  2. Step 2: Convert to fraction form
    682.04/941.54 = 433.48/x
  3. Step 3: Cross multiply
    682.04x = 941.54 × 433.48
  4. Step 4: Simplify right side
    682.04x = 408,138.76
  5. Step 5: Solve for x
    x = 408,138.76/682.04
  6. Step 6: Final answer
    x = 598.41

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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.