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Finding the Fourth Proportional to 948.29, 1,422.42 and 332.00

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Solution

The fourth proportional to 948.29, 1,422.42 and 332.00 is: 497.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.29 : 1,422.42 = 332.00 : x
  2. Step 2: Convert to fraction form
    948.29/1,422.42 = 332.00/x
  3. Step 3: Cross multiply
    948.29x = 1,422.42 × 332.00
  4. Step 4: Simplify right side
    948.29x = 472,240.42
  5. Step 5: Solve for x
    x = 472,240.42/948.29
  6. Step 6: Final answer
    x = 497.99

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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.