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Finding the Fourth Proportional to 588.96, 880.05 and 449.37

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Solution

The fourth proportional to 588.96, 880.05 and 449.37 is: 671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 880.05 = 449.37 : x
  2. Step 2: Convert to fraction form
    588.96/880.05 = 449.37/x
  3. Step 3: Cross multiply
    588.96x = 880.05 × 449.37
  4. Step 4: Simplify right side
    588.96x = 395,465.82
  5. Step 5: Solve for x
    x = 395,465.82/588.96
  6. Step 6: Final answer
    x = 671.46

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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.