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Finding the Fourth Proportional to 535.96, 800.36 and 458.11

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Solution

The fourth proportional to 535.96, 800.36 and 458.11 is: 684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.96 : 800.36 = 458.11 : x
  2. Step 2: Convert to fraction form
    535.96/800.36 = 458.11/x
  3. Step 3: Cross multiply
    535.96x = 800.36 × 458.11
  4. Step 4: Simplify right side
    535.96x = 366,652.92
  5. Step 5: Solve for x
    x = 366,652.92/535.96
  6. Step 6: Final answer
    x = 684.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.