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Finding the Fourth Proportional to 459.56, 688.64 and 285.98

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Solution

The fourth proportional to 459.56, 688.64 and 285.98 is: 428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.56 : 688.64 = 285.98 : x
  2. Step 2: Convert to fraction form
    459.56/688.64 = 285.98/x
  3. Step 3: Cross multiply
    459.56x = 688.64 × 285.98
  4. Step 4: Simplify right side
    459.56x = 196,932.39
  5. Step 5: Solve for x
    x = 196,932.39/459.56
  6. Step 6: Final answer
    x = 428.52

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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.