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Finding the Fourth Proportional to 456.26, 684.35 and 248.09

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Solution

The fourth proportional to 456.26, 684.35 and 248.09 is: 372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.26 : 684.35 = 248.09 : x
  2. Step 2: Convert to fraction form
    456.26/684.35 = 248.09/x
  3. Step 3: Cross multiply
    456.26x = 684.35 × 248.09
  4. Step 4: Simplify right side
    456.26x = 169,779.15
  5. Step 5: Solve for x
    x = 169,779.15/456.26
  6. Step 6: Final answer
    x = 372.11

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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.