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Finding the Fourth Proportional to 450.09, 676.16 and 388.58

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Solution

The fourth proportional to 450.09, 676.16 and 388.58 is: 583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.09 : 676.16 = 388.58 : x
  2. Step 2: Convert to fraction form
    450.09/676.16 = 388.58/x
  3. Step 3: Cross multiply
    450.09x = 676.16 × 388.58
  4. Step 4: Simplify right side
    450.09x = 262,740.31
  5. Step 5: Solve for x
    x = 262,740.31/450.09
  6. Step 6: Final answer
    x = 583.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.