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Finding the Fourth Proportional to 684.87, 945.59 and 436.61

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Solution

The fourth proportional to 684.87, 945.59 and 436.61 is: 602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.87 : 945.59 = 436.61 : x
  2. Step 2: Convert to fraction form
    684.87/945.59 = 436.61/x
  3. Step 3: Cross multiply
    684.87x = 945.59 × 436.61
  4. Step 4: Simplify right side
    684.87x = 412,847.14
  5. Step 5: Solve for x
    x = 412,847.14/684.87
  6. Step 6: Final answer
    x = 602.81

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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.