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Finding the Fourth Proportional to 619.30, 854.68 and 357.32

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Solution

The fourth proportional to 619.30, 854.68 and 357.32 is: 493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.30 : 854.68 = 357.32 : x
  2. Step 2: Convert to fraction form
    619.30/854.68 = 357.32/x
  3. Step 3: Cross multiply
    619.30x = 854.68 × 357.32
  4. Step 4: Simplify right side
    619.30x = 305,394.26
  5. Step 5: Solve for x
    x = 305,394.26/619.30
  6. Step 6: Final answer
    x = 493.13

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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.