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Finding the Fourth Proportional to 948.82, 1,423.22 and 290.70

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Solution

The fourth proportional to 948.82, 1,423.22 and 290.70 is: 436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.82 : 1,423.22 = 290.70 : x
  2. Step 2: Convert to fraction form
    948.82/1,423.22 = 290.70/x
  3. Step 3: Cross multiply
    948.82x = 1,423.22 × 290.70
  4. Step 4: Simplify right side
    948.82x = 413,730.05
  5. Step 5: Solve for x
    x = 413,730.05/948.82
  6. Step 6: Final answer
    x = 436.05

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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.