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Finding the Fourth Proportional to 434.66, 651.63 and 297.97

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Solution

The fourth proportional to 434.66, 651.63 and 297.97 is: 446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.66 : 651.63 = 297.97 : x
  2. Step 2: Convert to fraction form
    434.66/651.63 = 297.97/x
  3. Step 3: Cross multiply
    434.66x = 651.63 × 297.97
  4. Step 4: Simplify right side
    434.66x = 194,164.56
  5. Step 5: Solve for x
    x = 194,164.56/434.66
  6. Step 6: Final answer
    x = 446.71

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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.