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Finding the Fourth Proportional to 677.96, 934.95 and 428.85

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Solution

The fourth proportional to 677.96, 934.95 and 428.85 is: 591.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.96 : 934.95 = 428.85 : x
  2. Step 2: Convert to fraction form
    677.96/934.95 = 428.85/x
  3. Step 3: Cross multiply
    677.96x = 934.95 × 428.85
  4. Step 4: Simplify right side
    677.96x = 400,953.31
  5. Step 5: Solve for x
    x = 400,953.31/677.96
  6. Step 6: Final answer
    x = 591.42

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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.