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Finding the Fourth Proportional to 946.35, 1,419.59 and 329.87

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Solution

The fourth proportional to 946.35, 1,419.59 and 329.87 is: 494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.35 : 1,419.59 = 329.87 : x
  2. Step 2: Convert to fraction form
    946.35/1,419.59 = 329.87/x
  3. Step 3: Cross multiply
    946.35x = 1,419.59 × 329.87
  4. Step 4: Simplify right side
    946.35x = 468,284.53
  5. Step 5: Solve for x
    x = 468,284.53/946.35
  6. Step 6: Final answer
    x = 494.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.