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Finding the Fourth Proportional to 459.44, 689.16 and 285.92

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Solution

The fourth proportional to 459.44, 689.16 and 285.92 is: 428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.44 : 689.16 = 285.92 : x
  2. Step 2: Convert to fraction form
    459.44/689.16 = 285.92/x
  3. Step 3: Cross multiply
    459.44x = 689.16 × 285.92
  4. Step 4: Simplify right side
    459.44x = 197,044.63
  5. Step 5: Solve for x
    x = 197,044.63/459.44
  6. Step 6: Final answer
    x = 428.88

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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.