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Finding the Fourth Proportional to 689.22, 951.07 and 423.63

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Solution

The fourth proportional to 689.22, 951.07 and 423.63 is: 584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.22 : 951.07 = 423.63 : x
  2. Step 2: Convert to fraction form
    689.22/951.07 = 423.63/x
  3. Step 3: Cross multiply
    689.22x = 951.07 × 423.63
  4. Step 4: Simplify right side
    689.22x = 402,900.33
  5. Step 5: Solve for x
    x = 402,900.33/689.22
  6. Step 6: Final answer
    x = 584.58

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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.