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Finding the Fourth Proportional to 680.76, 939.45 and 432.23

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Solution

The fourth proportional to 680.76, 939.45 and 432.23 is: 596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.76 : 939.45 = 432.23 : x
  2. Step 2: Convert to fraction form
    680.76/939.45 = 432.23/x
  3. Step 3: Cross multiply
    680.76x = 939.45 × 432.23
  4. Step 4: Simplify right side
    680.76x = 406,053.78
  5. Step 5: Solve for x
    x = 406,053.78/680.76
  6. Step 6: Final answer
    x = 596.47

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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.