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Finding the Fourth Proportional to 619.41, 854.04 and 471.78

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Solution

The fourth proportional to 619.41, 854.04 and 471.78 is: 650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.41 : 854.04 = 471.78 : x
  2. Step 2: Convert to fraction form
    619.41/854.04 = 471.78/x
  3. Step 3: Cross multiply
    619.41x = 854.04 × 471.78
  4. Step 4: Simplify right side
    619.41x = 402,918.99
  5. Step 5: Solve for x
    x = 402,918.99/619.41
  6. Step 6: Final answer
    x = 650.49

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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.