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Finding the Fourth Proportional to 948.23, 1,422.69 and 332.03

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Solution

The fourth proportional to 948.23, 1,422.69 and 332.03 is: 498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.23 : 1,422.69 = 332.03 : x
  2. Step 2: Convert to fraction form
    948.23/1,422.69 = 332.03/x
  3. Step 3: Cross multiply
    948.23x = 1,422.69 × 332.03
  4. Step 4: Simplify right side
    948.23x = 472,368.65
  5. Step 5: Solve for x
    x = 472,368.65/948.23
  6. Step 6: Final answer
    x = 498.16

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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.