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Finding the Fourth Proportional to 459.24, 633.54 and 441.57

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Solution

The fourth proportional to 459.24, 633.54 and 441.57 is: 609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.24 : 633.54 = 441.57 : x
  2. Step 2: Convert to fraction form
    459.24/633.54 = 441.57/x
  3. Step 3: Cross multiply
    459.24x = 633.54 × 441.57
  4. Step 4: Simplify right side
    459.24x = 279,750.24
  5. Step 5: Solve for x
    x = 279,750.24/459.24
  6. Step 6: Final answer
    x = 609.16

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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.