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Finding the Fourth Proportional to 676.64, 933.64 and 393.04

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Solution

The fourth proportional to 676.64, 933.64 and 393.04 is: 542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.64 : 933.64 = 393.04 : x
  2. Step 2: Convert to fraction form
    676.64/933.64 = 393.04/x
  3. Step 3: Cross multiply
    676.64x = 933.64 × 393.04
  4. Step 4: Simplify right side
    676.64x = 366,957.87
  5. Step 5: Solve for x
    x = 366,957.87/676.64
  6. Step 6: Final answer
    x = 542.32

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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.