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Finding the Fourth Proportional to 677.60, 934.81 and 428.83

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Solution

The fourth proportional to 677.60, 934.81 and 428.83 is: 591.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.60 : 934.81 = 428.83 : x
  2. Step 2: Convert to fraction form
    677.60/934.81 = 428.83/x
  3. Step 3: Cross multiply
    677.60x = 934.81 × 428.83
  4. Step 4: Simplify right side
    677.60x = 400,871.16
  5. Step 5: Solve for x
    x = 400,871.16/677.60
  6. Step 6: Final answer
    x = 591.61

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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.