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Finding the Fourth Proportional to 459.98, 634.56 and 294.38

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Solution

The fourth proportional to 459.98, 634.56 and 294.38 is: 406.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.98 : 634.56 = 294.38 : x
  2. Step 2: Convert to fraction form
    459.98/634.56 = 294.38/x
  3. Step 3: Cross multiply
    459.98x = 634.56 × 294.38
  4. Step 4: Simplify right side
    459.98x = 186,801.77
  5. Step 5: Solve for x
    x = 186,801.77/459.98
  6. Step 6: Final answer
    x = 406.11

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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.