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Finding the Fourth Proportional to 449.04, 619.68 and 294.08

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Solution

The fourth proportional to 449.04, 619.68 and 294.08 is: 405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.04 : 619.68 = 294.08 : x
  2. Step 2: Convert to fraction form
    449.04/619.68 = 294.08/x
  3. Step 3: Cross multiply
    449.04x = 619.68 × 294.08
  4. Step 4: Simplify right side
    449.04x = 182,235.49
  5. Step 5: Solve for x
    x = 182,235.49/449.04
  6. Step 6: Final answer
    x = 405.83

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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.