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Finding the Fourth Proportional to 459.83, 634.53 and 294.08

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Solution

The fourth proportional to 459.83, 634.53 and 294.08 is: 405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.83 : 634.53 = 294.08 : x
  2. Step 2: Convert to fraction form
    459.83/634.53 = 294.08/x
  3. Step 3: Cross multiply
    459.83x = 634.53 × 294.08
  4. Step 4: Simplify right side
    459.83x = 186,604.08
  5. Step 5: Solve for x
    x = 186,604.08/459.83
  6. Step 6: Final answer
    x = 405.81

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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.