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Finding the Fourth Proportional to 949.07, 1,423.62 and 332.78

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Solution

The fourth proportional to 949.07, 1,423.62 and 332.78 is: 499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.07 : 1,423.62 = 332.78 : x
  2. Step 2: Convert to fraction form
    949.07/1,423.62 = 332.78/x
  3. Step 3: Cross multiply
    949.07x = 1,423.62 × 332.78
  4. Step 4: Simplify right side
    949.07x = 473,745.15
  5. Step 5: Solve for x
    x = 473,745.15/949.07
  6. Step 6: Final answer
    x = 499.17

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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.