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Finding the Fourth Proportional to 543.88, 749.55 and 460.72

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Solution

The fourth proportional to 543.88, 749.55 and 460.72 is: 634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.88 : 749.55 = 460.72 : x
  2. Step 2: Convert to fraction form
    543.88/749.55 = 460.72/x
  3. Step 3: Cross multiply
    543.88x = 749.55 × 460.72
  4. Step 4: Simplify right side
    543.88x = 345,332.68
  5. Step 5: Solve for x
    x = 345,332.68/543.88
  6. Step 6: Final answer
    x = 634.94

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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.