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Finding the Fourth Proportional to 459.53, 634.12 and 263.04

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Solution

The fourth proportional to 459.53, 634.12 and 263.04 is: 362.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.53 : 634.12 = 263.04 : x
  2. Step 2: Convert to fraction form
    459.53/634.12 = 263.04/x
  3. Step 3: Cross multiply
    459.53x = 634.12 × 263.04
  4. Step 4: Simplify right side
    459.53x = 166,798.92
  5. Step 5: Solve for x
    x = 166,798.92/459.53
  6. Step 6: Final answer
    x = 362.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.