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Finding the Fourth Proportional to 619.23, 928.83 and 253.93

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Solution

The fourth proportional to 619.23, 928.83 and 253.93 is: 380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.23 : 928.83 = 253.93 : x
  2. Step 2: Convert to fraction form
    619.23/928.83 = 253.93/x
  3. Step 3: Cross multiply
    619.23x = 928.83 × 253.93
  4. Step 4: Simplify right side
    619.23x = 235,857.80
  5. Step 5: Solve for x
    x = 235,857.80/619.23
  6. Step 6: Final answer
    x = 380.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.