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Finding the Fourth Proportional to 676.49, 933.32 and 410.94

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Solution

The fourth proportional to 676.49, 933.32 and 410.94 is: 566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.49 : 933.32 = 410.94 : x
  2. Step 2: Convert to fraction form
    676.49/933.32 = 410.94/x
  3. Step 3: Cross multiply
    676.49x = 933.32 × 410.94
  4. Step 4: Simplify right side
    676.49x = 383,536.47
  5. Step 5: Solve for x
    x = 383,536.47/676.49
  6. Step 6: Final answer
    x = 566.95

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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.