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Finding the Fourth Proportional to 537.06, 741.02 and 453.98

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Solution

The fourth proportional to 537.06, 741.02 and 453.98 is: 626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.06 : 741.02 = 453.98 : x
  2. Step 2: Convert to fraction form
    537.06/741.02 = 453.98/x
  3. Step 3: Cross multiply
    537.06x = 741.02 × 453.98
  4. Step 4: Simplify right side
    537.06x = 336,408.26
  5. Step 5: Solve for x
    x = 336,408.26/537.06
  6. Step 6: Final answer
    x = 626.39

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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.