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Finding the Fourth Proportional to 459.66, 689.63 and 135.03

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Solution

The fourth proportional to 459.66, 689.63 and 135.03 is: 202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.66 : 689.63 = 135.03 : x
  2. Step 2: Convert to fraction form
    459.66/689.63 = 135.03/x
  3. Step 3: Cross multiply
    459.66x = 689.63 × 135.03
  4. Step 4: Simplify right side
    459.66x = 93,120.74
  5. Step 5: Solve for x
    x = 93,120.74/459.66
  6. Step 6: Final answer
    x = 202.59

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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.