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Finding the Fourth Proportional to 450.72, 676.08 and 410.76

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Solution

The fourth proportional to 450.72, 676.08 and 410.76 is: 616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.72 : 676.08 = 410.76 : x
  2. Step 2: Convert to fraction form
    450.72/676.08 = 410.76/x
  3. Step 3: Cross multiply
    450.72x = 676.08 × 410.76
  4. Step 4: Simplify right side
    450.72x = 277,706.62
  5. Step 5: Solve for x
    x = 277,706.62/450.72
  6. Step 6: Final answer
    x = 616.14

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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.