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Finding the Fourth Proportional to 469.76, 704.44 and 235.34

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Solution

The fourth proportional to 469.76, 704.44 and 235.34 is: 352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.76 : 704.44 = 235.34 : x
  2. Step 2: Convert to fraction form
    469.76/704.44 = 235.34/x
  3. Step 3: Cross multiply
    469.76x = 704.44 × 235.34
  4. Step 4: Simplify right side
    469.76x = 165,779.97
  5. Step 5: Solve for x
    x = 165,779.97/469.76
  6. Step 6: Final answer
    x = 352.91

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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.