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Finding the Fourth Proportional to 600.96, 828.48 and 425.76

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Solution

The fourth proportional to 600.96, 828.48 and 425.76 is: 586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.96 : 828.48 = 425.76 : x
  2. Step 2: Convert to fraction form
    600.96/828.48 = 425.76/x
  3. Step 3: Cross multiply
    600.96x = 828.48 × 425.76
  4. Step 4: Simplify right side
    600.96x = 352,733.64
  5. Step 5: Solve for x
    x = 352,733.64/600.96
  6. Step 6: Final answer
    x = 586.95

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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.