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Finding the Fourth Proportional to 685.40, 945.41 and 436.86

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Solution

The fourth proportional to 685.40, 945.41 and 436.86 is: 602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.40 : 945.41 = 436.86 : x
  2. Step 2: Convert to fraction form
    685.40/945.41 = 436.86/x
  3. Step 3: Cross multiply
    685.40x = 945.41 × 436.86
  4. Step 4: Simplify right side
    685.40x = 413,009.63
  5. Step 5: Solve for x
    x = 413,009.63/685.40
  6. Step 6: Final answer
    x = 602.59

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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.