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Finding the Fourth Proportional to 492.48, 738.08 and 264

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Solution

The fourth proportional to 492.48, 738.08 and 264 is: 395.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.48 : 738.08 = 264 : x
  2. Step 2: Convert to fraction form
    492.48/738.08 = 264/x
  3. Step 3: Cross multiply
    492.48x = 738.08 × 264
  4. Step 4: Simplify right side
    492.48x = 194,853.12
  5. Step 5: Solve for x
    x = 194,853.12/492.48
  6. Step 6: Final answer
    x = 395.66

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