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Finding the Fourth Proportional to 619.65, 854.96 and 357.66

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Solution

The fourth proportional to 619.65, 854.96 and 357.66 is: 493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.65 : 854.96 = 357.66 : x
  2. Step 2: Convert to fraction form
    619.65/854.96 = 357.66/x
  3. Step 3: Cross multiply
    619.65x = 854.96 × 357.66
  4. Step 4: Simplify right side
    619.65x = 305,783.21
  5. Step 5: Solve for x
    x = 305,783.21/619.65
  6. Step 6: Final answer
    x = 493.48

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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.