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Finding the Fourth Proportional to 949.19, 1,423.79 and 332.75

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Solution

The fourth proportional to 949.19, 1,423.79 and 332.75 is: 499.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.19 : 1,423.79 = 332.75 : x
  2. Step 2: Convert to fraction form
    949.19/1,423.79 = 332.75/x
  3. Step 3: Cross multiply
    949.19x = 1,423.79 × 332.75
  4. Step 4: Simplify right side
    949.19x = 473,770.33
  5. Step 5: Solve for x
    x = 473,770.33/949.19
  6. Step 6: Final answer
    x = 499.13

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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.