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Finding the Fourth Proportional to 676.52, 933.60 and 366.02

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Solution

The fourth proportional to 676.52, 933.60 and 366.02 is: 505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.52 : 933.60 = 366.02 : x
  2. Step 2: Convert to fraction form
    676.52/933.60 = 366.02/x
  3. Step 3: Cross multiply
    676.52x = 933.60 × 366.02
  4. Step 4: Simplify right side
    676.52x = 341,718.61
  5. Step 5: Solve for x
    x = 341,718.61/676.52
  6. Step 6: Final answer
    x = 505.11

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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.