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Finding the Fourth Proportional to 543.41, 813.14 and 465.35

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Solution

The fourth proportional to 543.41, 813.14 and 465.35 is: 696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.41 : 813.14 = 465.35 : x
  2. Step 2: Convert to fraction form
    543.41/813.14 = 465.35/x
  3. Step 3: Cross multiply
    543.41x = 813.14 × 465.35
  4. Step 4: Simplify right side
    543.41x = 378,390.05
  5. Step 5: Solve for x
    x = 378,390.05/543.41
  6. Step 6: Final answer
    x = 696.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.