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Finding the Fourth Proportional to 459.36, 634.06 and 294.02

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Solution

The fourth proportional to 459.36, 634.06 and 294.02 is: 405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.36 : 634.06 = 294.02 : x
  2. Step 2: Convert to fraction form
    459.36/634.06 = 294.02/x
  3. Step 3: Cross multiply
    459.36x = 634.06 × 294.02
  4. Step 4: Simplify right side
    459.36x = 186,423.15
  5. Step 5: Solve for x
    x = 186,423.15/459.36
  6. Step 6: Final answer
    x = 405.83

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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.