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Finding the Fourth Proportional to 459.48, 634.20 and 284.73

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Solution

The fourth proportional to 459.48, 634.20 and 284.73 is: 393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.48 : 634.20 = 284.73 : x
  2. Step 2: Convert to fraction form
    459.48/634.20 = 284.73/x
  3. Step 3: Cross multiply
    459.48x = 634.20 × 284.73
  4. Step 4: Simplify right side
    459.48x = 180,575.77
  5. Step 5: Solve for x
    x = 180,575.77/459.48
  6. Step 6: Final answer
    x = 393.00

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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.