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Finding the Fourth Proportional to 591.14, 815.48 and 459.24

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Solution

The fourth proportional to 591.14, 815.48 and 459.24 is: 633.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.14 : 815.48 = 459.24 : x
  2. Step 2: Convert to fraction form
    591.14/815.48 = 459.24/x
  3. Step 3: Cross multiply
    591.14x = 815.48 × 459.24
  4. Step 4: Simplify right side
    591.14x = 374,501.04
  5. Step 5: Solve for x
    x = 374,501.04/591.14
  6. Step 6: Final answer
    x = 633.53

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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.