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Finding the Fourth Proportional to 543.45, 813.83 and 348.15

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Solution

The fourth proportional to 543.45, 813.83 and 348.15 is: 521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.45 : 813.83 = 348.15 : x
  2. Step 2: Convert to fraction form
    543.45/813.83 = 348.15/x
  3. Step 3: Cross multiply
    543.45x = 813.83 × 348.15
  4. Step 4: Simplify right side
    543.45x = 283,333.17
  5. Step 5: Solve for x
    x = 283,333.17/543.45
  6. Step 6: Final answer
    x = 521.36

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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.