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Finding the Fourth Proportional to 543.60, 814.97 and 283.47

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Solution

The fourth proportional to 543.60, 814.97 and 283.47 is: 424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.60 : 814.97 = 283.47 : x
  2. Step 2: Convert to fraction form
    543.60/814.97 = 283.47/x
  3. Step 3: Cross multiply
    543.60x = 814.97 × 283.47
  4. Step 4: Simplify right side
    543.60x = 231,018.13
  5. Step 5: Solve for x
    x = 231,018.13/543.60
  6. Step 6: Final answer
    x = 424.98

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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.