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Finding the Fourth Proportional to 459.14, 688.26 and 296.94

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Solution

The fourth proportional to 459.14, 688.26 and 296.94 is: 445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.14 : 688.26 = 296.94 : x
  2. Step 2: Convert to fraction form
    459.14/688.26 = 296.94/x
  3. Step 3: Cross multiply
    459.14x = 688.26 × 296.94
  4. Step 4: Simplify right side
    459.14x = 204,371.92
  5. Step 5: Solve for x
    x = 204,371.92/459.14
  6. Step 6: Final answer
    x = 445.12

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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.