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Finding the Fourth Proportional to 459.53, 689.33 and 134.88

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Solution

The fourth proportional to 459.53, 689.33 and 134.88 is: 202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.53 : 689.33 = 134.88 : x
  2. Step 2: Convert to fraction form
    459.53/689.33 = 134.88/x
  3. Step 3: Cross multiply
    459.53x = 689.33 × 134.88
  4. Step 4: Simplify right side
    459.53x = 92,976.83
  5. Step 5: Solve for x
    x = 92,976.83/459.53
  6. Step 6: Final answer
    x = 202.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.