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Finding the Fourth Proportional to 619.52, 854.78 and 370.75

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Solution

The fourth proportional to 619.52, 854.78 and 370.75 is: 511.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.52 : 854.78 = 370.75 : x
  2. Step 2: Convert to fraction form
    619.52/854.78 = 370.75/x
  3. Step 3: Cross multiply
    619.52x = 854.78 × 370.75
  4. Step 4: Simplify right side
    619.52x = 316,909.69
  5. Step 5: Solve for x
    x = 316,909.69/619.52
  6. Step 6: Final answer
    x = 511.54

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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.