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Finding the Fourth Proportional to 459.52, 688.64 and 253.78

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Solution

The fourth proportional to 459.52, 688.64 and 253.78 is: 380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.52 : 688.64 = 253.78 : x
  2. Step 2: Convert to fraction form
    459.52/688.64 = 253.78/x
  3. Step 3: Cross multiply
    459.52x = 688.64 × 253.78
  4. Step 4: Simplify right side
    459.52x = 174,760.07
  5. Step 5: Solve for x
    x = 174,760.07/459.52
  6. Step 6: Final answer
    x = 380.31

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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.