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Finding the Fourth Proportional to 539.66, 744.32 and 456.64

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Solution

The fourth proportional to 539.66, 744.32 and 456.64 is: 629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.66 : 744.32 = 456.64 : x
  2. Step 2: Convert to fraction form
    539.66/744.32 = 456.64/x
  3. Step 3: Cross multiply
    539.66x = 744.32 × 456.64
  4. Step 4: Simplify right side
    539.66x = 339,886.28
  5. Step 5: Solve for x
    x = 339,886.28/539.66
  6. Step 6: Final answer
    x = 629.82

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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.