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Finding the Fourth Proportional to 948.49, 1,422.46 and 332.08

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Solution

The fourth proportional to 948.49, 1,422.46 and 332.08 is: 498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.49 : 1,422.46 = 332.08 : x
  2. Step 2: Convert to fraction form
    948.49/1,422.46 = 332.08/x
  3. Step 3: Cross multiply
    948.49x = 1,422.46 × 332.08
  4. Step 4: Simplify right side
    948.49x = 472,369.69
  5. Step 5: Solve for x
    x = 472,369.69/948.49
  6. Step 6: Final answer
    x = 498.02

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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.