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Finding the Fourth Proportional to 543.88, 815.84 and 283.53

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Solution

The fourth proportional to 543.88, 815.84 and 283.53 is: 425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.88 : 815.84 = 283.53 : x
  2. Step 2: Convert to fraction form
    543.88/815.84 = 283.53/x
  3. Step 3: Cross multiply
    543.88x = 815.84 × 283.53
  4. Step 4: Simplify right side
    543.88x = 231,317.82
  5. Step 5: Solve for x
    x = 231,317.82/543.88
  6. Step 6: Final answer
    x = 425.31

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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.