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Finding the Fourth Proportional to 676.71, 933.93 and 382.05

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Solution

The fourth proportional to 676.71, 933.93 and 382.05 is: 527.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.71 : 933.93 = 382.05 : x
  2. Step 2: Convert to fraction form
    676.71/933.93 = 382.05/x
  3. Step 3: Cross multiply
    676.71x = 933.93 × 382.05
  4. Step 4: Simplify right side
    676.71x = 356,807.96
  5. Step 5: Solve for x
    x = 356,807.96/676.71
  6. Step 6: Final answer
    x = 527.27

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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.