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Finding the Fourth Proportional to 305.38, 454.73 and 297.64

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Solution

The fourth proportional to 305.38, 454.73 and 297.64 is: 443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.38 : 454.73 = 297.64 : x
  2. Step 2: Convert to fraction form
    305.38/454.73 = 297.64/x
  3. Step 3: Cross multiply
    305.38x = 454.73 × 297.64
  4. Step 4: Simplify right side
    305.38x = 135,345.84
  5. Step 5: Solve for x
    x = 135,345.84/305.38
  6. Step 6: Final answer
    x = 443.20

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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.