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Finding the Fourth Proportional to 948.97, 1,422.93 and 332.49

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Solution

The fourth proportional to 948.97, 1,422.93 and 332.49 is: 498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.97 : 1,422.93 = 332.49 : x
  2. Step 2: Convert to fraction form
    948.97/1,422.93 = 332.49/x
  3. Step 3: Cross multiply
    948.97x = 1,422.93 × 332.49
  4. Step 4: Simplify right side
    948.97x = 473,110.00
  5. Step 5: Solve for x
    x = 473,110.00/948.97
  6. Step 6: Final answer
    x = 498.55

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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.