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Finding the Fourth Proportional to 492.54, 738.36 and 258.24

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Solution

The fourth proportional to 492.54, 738.36 and 258.24 is: 387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.54 : 738.36 = 258.24 : x
  2. Step 2: Convert to fraction form
    492.54/738.36 = 258.24/x
  3. Step 3: Cross multiply
    492.54x = 738.36 × 258.24
  4. Step 4: Simplify right side
    492.54x = 190,674.09
  5. Step 5: Solve for x
    x = 190,674.09/492.54
  6. Step 6: Final answer
    x = 387.12

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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.