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Finding the Fourth Proportional to 538.41, 742.86 and 407.19

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Solution

The fourth proportional to 538.41, 742.86 and 407.19 is: 561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.41 : 742.86 = 407.19 : x
  2. Step 2: Convert to fraction form
    538.41/742.86 = 407.19/x
  3. Step 3: Cross multiply
    538.41x = 742.86 × 407.19
  4. Step 4: Simplify right side
    538.41x = 302,485.16
  5. Step 5: Solve for x
    x = 302,485.16/538.41
  6. Step 6: Final answer
    x = 561.81

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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.