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Finding the Fourth Proportional to 459.36, 688.48 and 242.56

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Solution

The fourth proportional to 459.36, 688.48 and 242.56 is: 363.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.36 : 688.48 = 242.56 : x
  2. Step 2: Convert to fraction form
    459.36/688.48 = 242.56/x
  3. Step 3: Cross multiply
    459.36x = 688.48 × 242.56
  4. Step 4: Simplify right side
    459.36x = 166,997.71
  5. Step 5: Solve for x
    x = 166,997.71/459.36
  6. Step 6: Final answer
    x = 363.54

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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.