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Finding the Fourth Proportional to 466.97, 696.09 and 458.76

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Solution

The fourth proportional to 466.97, 696.09 and 458.76 is: 683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.97 : 696.09 = 458.76 : x
  2. Step 2: Convert to fraction form
    466.97/696.09 = 458.76/x
  3. Step 3: Cross multiply
    466.97x = 696.09 × 458.76
  4. Step 4: Simplify right side
    466.97x = 319,342.58
  5. Step 5: Solve for x
    x = 319,342.58/466.97
  6. Step 6: Final answer
    x = 683.87

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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.