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Finding the Fourth Proportional to 449.12, 669.96 and 397.28

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Solution

The fourth proportional to 449.12, 669.96 and 397.28 is: 592.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.12 : 669.96 = 397.28 : x
  2. Step 2: Convert to fraction form
    449.12/669.96 = 397.28/x
  3. Step 3: Cross multiply
    449.12x = 669.96 × 397.28
  4. Step 4: Simplify right side
    449.12x = 266,161.71
  5. Step 5: Solve for x
    x = 266,161.71/449.12
  6. Step 6: Final answer
    x = 592.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.