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Finding the Fourth Proportional to 450.96, 676.08 and 288.32

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Solution

The fourth proportional to 450.96, 676.08 and 288.32 is: 432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.96 : 676.08 = 288.32 : x
  2. Step 2: Convert to fraction form
    450.96/676.08 = 288.32/x
  3. Step 3: Cross multiply
    450.96x = 676.08 × 288.32
  4. Step 4: Simplify right side
    450.96x = 194,927.39
  5. Step 5: Solve for x
    x = 194,927.39/450.96
  6. Step 6: Final answer
    x = 432.25

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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.