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Finding the Fourth Proportional to 619.64, 854.17 and 472.02

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Solution

The fourth proportional to 619.64, 854.17 and 472.02 is: 650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.64 : 854.17 = 472.02 : x
  2. Step 2: Convert to fraction form
    619.64/854.17 = 472.02/x
  3. Step 3: Cross multiply
    619.64x = 854.17 × 472.02
  4. Step 4: Simplify right side
    619.64x = 403,185.32
  5. Step 5: Solve for x
    x = 403,185.32/619.64
  6. Step 6: Final answer
    x = 650.68

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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.