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Finding the Fourth Proportional to 449.46, 619.05 and 417.57

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Solution

The fourth proportional to 449.46, 619.05 and 417.57 is: 575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.46 : 619.05 = 417.57 : x
  2. Step 2: Convert to fraction form
    449.46/619.05 = 417.57/x
  3. Step 3: Cross multiply
    449.46x = 619.05 × 417.57
  4. Step 4: Simplify right side
    449.46x = 258,496.71
  5. Step 5: Solve for x
    x = 258,496.71/449.46
  6. Step 6: Final answer
    x = 575.13

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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.