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Finding the Fourth Proportional to 458.82, 691.83 and 420.55

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Solution

The fourth proportional to 458.82, 691.83 and 420.55 is: 634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.82 : 691.83 = 420.55 : x
  2. Step 2: Convert to fraction form
    458.82/691.83 = 420.55/x
  3. Step 3: Cross multiply
    458.82x = 691.83 × 420.55
  4. Step 4: Simplify right side
    458.82x = 290,943.54
  5. Step 5: Solve for x
    x = 290,943.54/458.82
  6. Step 6: Final answer
    x = 634.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.