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Finding the Fourth Proportional to 531.70, 792.86 and 466.97

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Solution

The fourth proportional to 531.70, 792.86 and 466.97 is: 696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.70 : 792.86 = 466.97 : x
  2. Step 2: Convert to fraction form
    531.70/792.86 = 466.97/x
  3. Step 3: Cross multiply
    531.70x = 792.86 × 466.97
  4. Step 4: Simplify right side
    531.70x = 370,235.54
  5. Step 5: Solve for x
    x = 370,235.54/531.70
  6. Step 6: Final answer
    x = 696.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.