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Finding the Fourth Proportional to 619.45, 854.93 and 357.41

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Solution

The fourth proportional to 619.45, 854.93 and 357.41 is: 493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.45 : 854.93 = 357.41 : x
  2. Step 2: Convert to fraction form
    619.45/854.93 = 357.41/x
  3. Step 3: Cross multiply
    619.45x = 854.93 × 357.41
  4. Step 4: Simplify right side
    619.45x = 305,560.53
  5. Step 5: Solve for x
    x = 305,560.53/619.45
  6. Step 6: Final answer
    x = 493.28

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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.