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Finding the Fourth Proportional to 459.35, 634.14 and 284.80

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Solution

The fourth proportional to 459.35, 634.14 and 284.80 is: 393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.35 : 634.14 = 284.80 : x
  2. Step 2: Convert to fraction form
    459.35/634.14 = 284.80/x
  3. Step 3: Cross multiply
    459.35x = 634.14 × 284.80
  4. Step 4: Simplify right side
    459.35x = 180,601.49
  5. Step 5: Solve for x
    x = 180,601.49/459.35
  6. Step 6: Final answer
    x = 393.17

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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.