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Finding the Fourth Proportional to 543.47, 749.96 and 304.18

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Solution

The fourth proportional to 543.47, 749.96 and 304.18 is: 419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.47 : 749.96 = 304.18 : x
  2. Step 2: Convert to fraction form
    543.47/749.96 = 304.18/x
  3. Step 3: Cross multiply
    543.47x = 749.96 × 304.18
  4. Step 4: Simplify right side
    543.47x = 228,122.83
  5. Step 5: Solve for x
    x = 228,122.83/543.47
  6. Step 6: Final answer
    x = 419.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.