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Finding the Fourth Proportional to 297.63, 443.94 and 288.52

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Solution

The fourth proportional to 297.63, 443.94 and 288.52 is: 430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.63 : 443.94 = 288.52 : x
  2. Step 2: Convert to fraction form
    297.63/443.94 = 288.52/x
  3. Step 3: Cross multiply
    297.63x = 443.94 × 288.52
  4. Step 4: Simplify right side
    297.63x = 128,083.38
  5. Step 5: Solve for x
    x = 128,083.38/297.63
  6. Step 6: Final answer
    x = 430.34

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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.