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Finding the Fourth Proportional to 946.58, 1,420.11 and 288.44

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Solution

The fourth proportional to 946.58, 1,420.11 and 288.44 is: 432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.58 : 1,420.11 = 288.44 : x
  2. Step 2: Convert to fraction form
    946.58/1,420.11 = 288.44/x
  3. Step 3: Cross multiply
    946.58x = 1,420.11 × 288.44
  4. Step 4: Simplify right side
    946.58x = 409,609.43
  5. Step 5: Solve for x
    x = 409,609.43/946.58
  6. Step 6: Final answer
    x = 432.73

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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.