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Finding the Fourth Proportional to 492.08, 736.29 and 308.00

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Solution

The fourth proportional to 492.08, 736.29 and 308.00 is: 460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.08 : 736.29 = 308.00 : x
  2. Step 2: Convert to fraction form
    492.08/736.29 = 308.00/x
  3. Step 3: Cross multiply
    492.08x = 736.29 × 308.00
  4. Step 4: Simplify right side
    492.08x = 226,779.16
  5. Step 5: Solve for x
    x = 226,779.16/492.08
  6. Step 6: Final answer
    x = 460.86

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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.