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Finding the Fourth Proportional to 619.06, 854.66 and 462.56

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Solution

The fourth proportional to 619.06, 854.66 and 462.56 is: 638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.06 : 854.66 = 462.56 : x
  2. Step 2: Convert to fraction form
    619.06/854.66 = 462.56/x
  3. Step 3: Cross multiply
    619.06x = 854.66 × 462.56
  4. Step 4: Simplify right side
    619.06x = 395,328.41
  5. Step 5: Solve for x
    x = 395,328.41/619.06
  6. Step 6: Final answer
    x = 638.59

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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.