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Finding the Fourth Proportional to 459.28, 688.38 and 266.50

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Solution

The fourth proportional to 459.28, 688.38 and 266.50 is: 399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.28 : 688.38 = 266.50 : x
  2. Step 2: Convert to fraction form
    459.28/688.38 = 266.50/x
  3. Step 3: Cross multiply
    459.28x = 688.38 × 266.50
  4. Step 4: Simplify right side
    459.28x = 183,453.27
  5. Step 5: Solve for x
    x = 183,453.27/459.28
  6. Step 6: Final answer
    x = 399.44

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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.