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Finding the Fourth Proportional to 680.45, 939.15 and 432.06

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Solution

The fourth proportional to 680.45, 939.15 and 432.06 is: 596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.45 : 939.15 = 432.06 : x
  2. Step 2: Convert to fraction form
    680.45/939.15 = 432.06/x
  3. Step 3: Cross multiply
    680.45x = 939.15 × 432.06
  4. Step 4: Simplify right side
    680.45x = 405,765.63
  5. Step 5: Solve for x
    x = 405,765.63/680.45
  6. Step 6: Final answer
    x = 596.32

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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.