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Finding the Fourth Proportional to 676.57, 933.67 and 366.07

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Solution

The fourth proportional to 676.57, 933.67 and 366.07 is: 505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.57 : 933.67 = 366.07 : x
  2. Step 2: Convert to fraction form
    676.57/933.67 = 366.07/x
  3. Step 3: Cross multiply
    676.57x = 933.67 × 366.07
  4. Step 4: Simplify right side
    676.57x = 341,787.95
  5. Step 5: Solve for x
    x = 341,787.95/676.57
  6. Step 6: Final answer
    x = 505.18

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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.