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Finding the Fourth Proportional to 676.41, 933.08 and 414.51

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Solution

The fourth proportional to 676.41, 933.08 and 414.51 is: 571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.41 : 933.08 = 414.51 : x
  2. Step 2: Convert to fraction form
    676.41/933.08 = 414.51/x
  3. Step 3: Cross multiply
    676.41x = 933.08 × 414.51
  4. Step 4: Simplify right side
    676.41x = 386,768.92
  5. Step 5: Solve for x
    x = 386,768.92/676.41
  6. Step 6: Final answer
    x = 571.80

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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.