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Finding the Fourth Proportional to 539.64, 808.88 and 192.64

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Solution

The fourth proportional to 539.64, 808.88 and 192.64 is: 288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.64 : 808.88 = 192.64 : x
  2. Step 2: Convert to fraction form
    539.64/808.88 = 192.64/x
  3. Step 3: Cross multiply
    539.64x = 808.88 × 192.64
  4. Step 4: Simplify right side
    539.64x = 155,822.64
  5. Step 5: Solve for x
    x = 155,822.64/539.64
  6. Step 6: Final answer
    x = 288.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.