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Finding the Fourth Proportional to 676.20, 933.20 and 454.76

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Solution

The fourth proportional to 676.20, 933.20 and 454.76 is: 627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.20 : 933.20 = 454.76 : x
  2. Step 2: Convert to fraction form
    676.20/933.20 = 454.76/x
  3. Step 3: Cross multiply
    676.20x = 933.20 × 454.76
  4. Step 4: Simplify right side
    676.20x = 424,382.03
  5. Step 5: Solve for x
    x = 424,382.03/676.20
  6. Step 6: Final answer
    x = 627.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.