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Finding the Fourth Proportional to 537.22, 740.73 and 498.34

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Solution

The fourth proportional to 537.22, 740.73 and 498.34 is: 687.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.22 : 740.73 = 498.34 : x
  2. Step 2: Convert to fraction form
    537.22/740.73 = 498.34/x
  3. Step 3: Cross multiply
    537.22x = 740.73 × 498.34
  4. Step 4: Simplify right side
    537.22x = 369,133.54
  5. Step 5: Solve for x
    x = 369,133.54/537.22
  6. Step 6: Final answer
    x = 687.12

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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.