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Finding the Fourth Proportional to 539.64, 745.02 and 364.68

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Solution

The fourth proportional to 539.64, 745.02 and 364.68 is: 503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.64 : 745.02 = 364.68 : x
  2. Step 2: Convert to fraction form
    539.64/745.02 = 364.68/x
  3. Step 3: Cross multiply
    539.64x = 745.02 × 364.68
  4. Step 4: Simplify right side
    539.64x = 271,693.89
  5. Step 5: Solve for x
    x = 271,693.89/539.64
  6. Step 6: Final answer
    x = 503.47

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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.