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Finding the Fourth Proportional to 293.52, 437.25 and 283.70

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Solution

The fourth proportional to 293.52, 437.25 and 283.70 is: 422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.52 : 437.25 = 283.70 : x
  2. Step 2: Convert to fraction form
    293.52/437.25 = 283.70/x
  3. Step 3: Cross multiply
    293.52x = 437.25 × 283.70
  4. Step 4: Simplify right side
    293.52x = 124,048.39
  5. Step 5: Solve for x
    x = 124,048.39/293.52
  6. Step 6: Final answer
    x = 422.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.