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Finding the Fourth Proportional to 297.17, 446.67 and 290.79

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Solution

The fourth proportional to 297.17, 446.67 and 290.79 is: 437.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.17 : 446.67 = 290.79 : x
  2. Step 2: Convert to fraction form
    297.17/446.67 = 290.79/x
  3. Step 3: Cross multiply
    297.17x = 446.67 × 290.79
  4. Step 4: Simplify right side
    297.17x = 129,888.84
  5. Step 5: Solve for x
    x = 129,888.84/297.17
  6. Step 6: Final answer
    x = 437.08

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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.