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Finding the Fourth Proportional to 297.09, 446.09 and 291.62

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Solution

The fourth proportional to 297.09, 446.09 and 291.62 is: 437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.09 : 446.09 = 291.62 : x
  2. Step 2: Convert to fraction form
    297.09/446.09 = 291.62/x
  3. Step 3: Cross multiply
    297.09x = 446.09 × 291.62
  4. Step 4: Simplify right side
    297.09x = 130,088.77
  5. Step 5: Solve for x
    x = 130,088.77/297.09
  6. Step 6: Final answer
    x = 437.88

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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.