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Finding the Fourth Proportional to 619.72, 855.24 and 354.16

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Solution

The fourth proportional to 619.72, 855.24 and 354.16 is: 488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.72 : 855.24 = 354.16 : x
  2. Step 2: Convert to fraction form
    619.72/855.24 = 354.16/x
  3. Step 3: Cross multiply
    619.72x = 855.24 × 354.16
  4. Step 4: Simplify right side
    619.72x = 302,891.80
  5. Step 5: Solve for x
    x = 302,891.80/619.72
  6. Step 6: Final answer
    x = 488.76

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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.