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Finding the Fourth Proportional to 543.80, 814.56 and 309.24

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Solution

The fourth proportional to 543.80, 814.56 and 309.24 is: 463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.80 : 814.56 = 309.24 : x
  2. Step 2: Convert to fraction form
    543.80/814.56 = 309.24/x
  3. Step 3: Cross multiply
    543.80x = 814.56 × 309.24
  4. Step 4: Simplify right side
    543.80x = 251,894.53
  5. Step 5: Solve for x
    x = 251,894.53/543.80
  6. Step 6: Final answer
    x = 463.21

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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.