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Finding the Fourth Proportional to 534.41, 736.67 and 417.77

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Solution

The fourth proportional to 534.41, 736.67 and 417.77 is: 575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.41 : 736.67 = 417.77 : x
  2. Step 2: Convert to fraction form
    534.41/736.67 = 417.77/x
  3. Step 3: Cross multiply
    534.41x = 736.67 × 417.77
  4. Step 4: Simplify right side
    534.41x = 307,755.99
  5. Step 5: Solve for x
    x = 307,755.99/534.41
  6. Step 6: Final answer
    x = 575.89

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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.