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Finding the Fourth Proportional to 459.33, 687.71 and 296.52

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Solution

The fourth proportional to 459.33, 687.71 and 296.52 is: 443.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.33 : 687.71 = 296.52 : x
  2. Step 2: Convert to fraction form
    459.33/687.71 = 296.52/x
  3. Step 3: Cross multiply
    459.33x = 687.71 × 296.52
  4. Step 4: Simplify right side
    459.33x = 203,914.85
  5. Step 5: Solve for x
    x = 203,914.85/459.33
  6. Step 6: Final answer
    x = 443.94

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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.