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Finding the Fourth Proportional to 543.47, 813.80 and 360.29

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Solution

The fourth proportional to 543.47, 813.80 and 360.29 is: 539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.47 : 813.80 = 360.29 : x
  2. Step 2: Convert to fraction form
    543.47/813.80 = 360.29/x
  3. Step 3: Cross multiply
    543.47x = 813.80 × 360.29
  4. Step 4: Simplify right side
    543.47x = 293,198.13
  5. Step 5: Solve for x
    x = 293,198.13/543.47
  6. Step 6: Final answer
    x = 539.50

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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.