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Finding the Fourth Proportional to 459.35, 687.78 and 242.46

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Solution

The fourth proportional to 459.35, 687.78 and 242.46 is: 363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.35 : 687.78 = 242.46 : x
  2. Step 2: Convert to fraction form
    459.35/687.78 = 242.46/x
  3. Step 3: Cross multiply
    459.35x = 687.78 × 242.46
  4. Step 4: Simplify right side
    459.35x = 166,759.14
  5. Step 5: Solve for x
    x = 166,759.14/459.35
  6. Step 6: Final answer
    x = 363.04

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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.