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Finding the Fourth Proportional to 449.08, 619.45 and 417.83

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Solution

The fourth proportional to 449.08, 619.45 and 417.83 is: 576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.08 : 619.45 = 417.83 : x
  2. Step 2: Convert to fraction form
    449.08/619.45 = 417.83/x
  3. Step 3: Cross multiply
    449.08x = 619.45 × 417.83
  4. Step 4: Simplify right side
    449.08x = 258,820.65
  5. Step 5: Solve for x
    x = 258,820.65/449.08
  6. Step 6: Final answer
    x = 576.34

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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.