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Finding the Fourth Proportional to 498.94, 748.50 and 174.28

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Solution

The fourth proportional to 498.94, 748.50 and 174.28 is: 261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.94 : 748.50 = 174.28 : x
  2. Step 2: Convert to fraction form
    498.94/748.50 = 174.28/x
  3. Step 3: Cross multiply
    498.94x = 748.50 × 174.28
  4. Step 4: Simplify right side
    498.94x = 130,448.58
  5. Step 5: Solve for x
    x = 130,448.58/498.94
  6. Step 6: Final answer
    x = 261.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.