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Finding the Fourth Proportional to 538.55, 744.15 and 420.81

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Solution

The fourth proportional to 538.55, 744.15 and 420.81 is: 581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.55 : 744.15 = 420.81 : x
  2. Step 2: Convert to fraction form
    538.55/744.15 = 420.81/x
  3. Step 3: Cross multiply
    538.55x = 744.15 × 420.81
  4. Step 4: Simplify right side
    538.55x = 313,145.76
  5. Step 5: Solve for x
    x = 313,145.76/538.55
  6. Step 6: Final answer
    x = 581.47

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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.