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Finding the Fourth Proportional to 689.24, 951.17 and 394.53

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Solution

The fourth proportional to 689.24, 951.17 and 394.53 is: 544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.24 : 951.17 = 394.53 : x
  2. Step 2: Convert to fraction form
    689.24/951.17 = 394.53/x
  3. Step 3: Cross multiply
    689.24x = 951.17 × 394.53
  4. Step 4: Simplify right side
    689.24x = 375,263.13
  5. Step 5: Solve for x
    x = 375,263.13/689.24
  6. Step 6: Final answer
    x = 544.46

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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.