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Finding the Fourth Proportional to 459.72, 688.93 and 254.38

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Solution

The fourth proportional to 459.72, 688.93 and 254.38 is: 381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.72 : 688.93 = 254.38 : x
  2. Step 2: Convert to fraction form
    459.72/688.93 = 254.38/x
  3. Step 3: Cross multiply
    459.72x = 688.93 × 254.38
  4. Step 4: Simplify right side
    459.72x = 175,250.01
  5. Step 5: Solve for x
    x = 175,250.01/459.72
  6. Step 6: Final answer
    x = 381.21

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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.