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Finding the Fourth Proportional to 537.30, 741.42 and 498.11

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Solution

The fourth proportional to 537.30, 741.42 and 498.11 is: 687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.30 : 741.42 = 498.11 : x
  2. Step 2: Convert to fraction form
    537.30/741.42 = 498.11/x
  3. Step 3: Cross multiply
    537.30x = 741.42 × 498.11
  4. Step 4: Simplify right side
    537.30x = 369,305.01
  5. Step 5: Solve for x
    x = 369,305.01/537.30
  6. Step 6: Final answer
    x = 687.33

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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.