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Finding the Fourth Proportional to 676.37, 933.32 and 377.60

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Solution

The fourth proportional to 676.37, 933.32 and 377.60 is: 521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.37 : 933.32 = 377.60 : x
  2. Step 2: Convert to fraction form
    676.37/933.32 = 377.60/x
  3. Step 3: Cross multiply
    676.37x = 933.32 × 377.60
  4. Step 4: Simplify right side
    676.37x = 352,421.63
  5. Step 5: Solve for x
    x = 352,421.63/676.37
  6. Step 6: Final answer
    x = 521.05

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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.