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Finding the Fourth Proportional to 543.48, 810.46 and 522.48

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Solution

The fourth proportional to 543.48, 810.46 and 522.48 is: 779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.48 : 810.46 = 522.48 : x
  2. Step 2: Convert to fraction form
    543.48/810.46 = 522.48/x
  3. Step 3: Cross multiply
    543.48x = 810.46 × 522.48
  4. Step 4: Simplify right side
    543.48x = 423,449.14
  5. Step 5: Solve for x
    x = 423,449.14/543.48
  6. Step 6: Final answer
    x = 779.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.