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Finding the Fourth Proportional to 539.84, 810 and 174.72

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Solution

The fourth proportional to 539.84, 810 and 174.72 is: 262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.84 : 810 = 174.72 : x
  2. Step 2: Convert to fraction form
    539.84/810 = 174.72/x
  3. Step 3: Cross multiply
    539.84x = 810 × 174.72
  4. Step 4: Simplify right side
    539.84x = 141,523.20
  5. Step 5: Solve for x
    x = 141,523.20/539.84
  6. Step 6: Final answer
    x = 262.16

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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.