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Finding the Fourth Proportional to 620.68, 928.86 and 457.96

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Solution

The fourth proportional to 620.68, 928.86 and 457.96 is: 685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.68 : 928.86 = 457.96 : x
  2. Step 2: Convert to fraction form
    620.68/928.86 = 457.96/x
  3. Step 3: Cross multiply
    620.68x = 928.86 × 457.96
  4. Step 4: Simplify right side
    620.68x = 425,380.73
  5. Step 5: Solve for x
    x = 425,380.73/620.68
  6. Step 6: Final answer
    x = 685.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.