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Finding the Fourth Proportional to 538.05, 741.63 and 476.53

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Solution

The fourth proportional to 538.05, 741.63 and 476.53 is: 656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.05 : 741.63 = 476.53 : x
  2. Step 2: Convert to fraction form
    538.05/741.63 = 476.53/x
  3. Step 3: Cross multiply
    538.05x = 741.63 × 476.53
  4. Step 4: Simplify right side
    538.05x = 353,408.94
  5. Step 5: Solve for x
    x = 353,408.94/538.05
  6. Step 6: Final answer
    x = 656.83

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Why These Related Problems?

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