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Finding the Fourth Proportional to 619.14, 854.52 and 357.32

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Solution

The fourth proportional to 619.14, 854.52 and 357.32 is: 493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.14 : 854.52 = 357.32 : x
  2. Step 2: Convert to fraction form
    619.14/854.52 = 357.32/x
  3. Step 3: Cross multiply
    619.14x = 854.52 × 357.32
  4. Step 4: Simplify right side
    619.14x = 305,337.09
  5. Step 5: Solve for x
    x = 305,337.09/619.14
  6. Step 6: Final answer
    x = 493.16

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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.