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Finding the Fourth Proportional to 459.25, 633.14 and 328.03

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Solution

The fourth proportional to 459.25, 633.14 and 328.03 is: 452.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.25 : 633.14 = 328.03 : x
  2. Step 2: Convert to fraction form
    459.25/633.14 = 328.03/x
  3. Step 3: Cross multiply
    459.25x = 633.14 × 328.03
  4. Step 4: Simplify right side
    459.25x = 207,688.91
  5. Step 5: Solve for x
    x = 207,688.91/459.25
  6. Step 6: Final answer
    x = 452.23

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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.