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Finding the Fourth Proportional to 676.48, 933.60 and 578.56

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Solution

The fourth proportional to 676.48, 933.60 and 578.56 is: 798.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.48 : 933.60 = 578.56 : x
  2. Step 2: Convert to fraction form
    676.48/933.60 = 578.56/x
  3. Step 3: Cross multiply
    676.48x = 933.60 × 578.56
  4. Step 4: Simplify right side
    676.48x = 540,143.62
  5. Step 5: Solve for x
    x = 540,143.62/676.48
  6. Step 6: Final answer
    x = 798.46

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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.