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Finding the Fourth Proportional to 676.45, 933.51 and 410.82

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Solution

The fourth proportional to 676.45, 933.51 and 410.82 is: 566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.45 : 933.51 = 410.82 : x
  2. Step 2: Convert to fraction form
    676.45/933.51 = 410.82/x
  3. Step 3: Cross multiply
    676.45x = 933.51 × 410.82
  4. Step 4: Simplify right side
    676.45x = 383,504.58
  5. Step 5: Solve for x
    x = 383,504.58/676.45
  6. Step 6: Final answer
    x = 566.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.