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Finding the Fourth Proportional to 946.84, 1,420.35 and 330.70

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Solution

The fourth proportional to 946.84, 1,420.35 and 330.70 is: 496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.84 : 1,420.35 = 330.70 : x
  2. Step 2: Convert to fraction form
    946.84/1,420.35 = 330.70/x
  3. Step 3: Cross multiply
    946.84x = 1,420.35 × 330.70
  4. Step 4: Simplify right side
    946.84x = 469,709.75
  5. Step 5: Solve for x
    x = 469,709.75/946.84
  6. Step 6: Final answer
    x = 496.08

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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.