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Finding the Fourth Proportional to 676.45, 932.83 and 410.93

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Solution

The fourth proportional to 676.45, 932.83 and 410.93 is: 566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.45 : 932.83 = 410.93 : x
  2. Step 2: Convert to fraction form
    676.45/932.83 = 410.93/x
  3. Step 3: Cross multiply
    676.45x = 932.83 × 410.93
  4. Step 4: Simplify right side
    676.45x = 383,323.17
  5. Step 5: Solve for x
    x = 383,323.17/676.45
  6. Step 6: Final answer
    x = 566.67

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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.