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Finding the Fourth Proportional to 459.24, 687.96 and 296.58

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Solution

The fourth proportional to 459.24, 687.96 and 296.58 is: 444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.24 : 687.96 = 296.58 : x
  2. Step 2: Convert to fraction form
    459.24/687.96 = 296.58/x
  3. Step 3: Cross multiply
    459.24x = 687.96 × 296.58
  4. Step 4: Simplify right side
    459.24x = 204,035.18
  5. Step 5: Solve for x
    x = 204,035.18/459.24
  6. Step 6: Final answer
    x = 444.29

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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.