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Finding the Fourth Proportional to 949.18, 1,422.86 and 332.48

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Solution

The fourth proportional to 949.18, 1,422.86 and 332.48 is: 498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.18 : 1,422.86 = 332.48 : x
  2. Step 2: Convert to fraction form
    949.18/1,422.86 = 332.48/x
  3. Step 3: Cross multiply
    949.18x = 1,422.86 × 332.48
  4. Step 4: Simplify right side
    949.18x = 473,072.49
  5. Step 5: Solve for x
    x = 473,072.49/949.18
  6. Step 6: Final answer
    x = 498.40

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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.