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Finding the Fourth Proportional to 676.72, 933.36 and 414.64

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Solution

The fourth proportional to 676.72, 933.36 and 414.64 is: 571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.72 : 933.36 = 414.64 : x
  2. Step 2: Convert to fraction form
    676.72/933.36 = 414.64/x
  3. Step 3: Cross multiply
    676.72x = 933.36 × 414.64
  4. Step 4: Simplify right side
    676.72x = 387,008.39
  5. Step 5: Solve for x
    x = 387,008.39/676.72
  6. Step 6: Final answer
    x = 571.89

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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.