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Finding the Fourth Proportional to 449.18, 619.47 and 291.75

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Solution

The fourth proportional to 449.18, 619.47 and 291.75 is: 402.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.18 : 619.47 = 291.75 : x
  2. Step 2: Convert to fraction form
    449.18/619.47 = 291.75/x
  3. Step 3: Cross multiply
    449.18x = 619.47 × 291.75
  4. Step 4: Simplify right side
    449.18x = 180,730.37
  5. Step 5: Solve for x
    x = 180,730.37/449.18
  6. Step 6: Final answer
    x = 402.36

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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.