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Finding the Fourth Proportional to 619.20, 854.40 and 357.24

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Solution

The fourth proportional to 619.20, 854.40 and 357.24 is: 492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.20 : 854.40 = 357.24 : x
  2. Step 2: Convert to fraction form
    619.20/854.40 = 357.24/x
  3. Step 3: Cross multiply
    619.20x = 854.40 × 357.24
  4. Step 4: Simplify right side
    619.20x = 305,225.86
  5. Step 5: Solve for x
    x = 305,225.86/619.20
  6. Step 6: Final answer
    x = 492.94

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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.