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Finding the Fourth Proportional to 469.54, 704.31 and 264.31

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Solution

The fourth proportional to 469.54, 704.31 and 264.31 is: 396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.54 : 704.31 = 264.31 : x
  2. Step 2: Convert to fraction form
    469.54/704.31 = 264.31/x
  3. Step 3: Cross multiply
    469.54x = 704.31 × 264.31
  4. Step 4: Simplify right side
    469.54x = 186,156.18
  5. Step 5: Solve for x
    x = 186,156.18/469.54
  6. Step 6: Final answer
    x = 396.47

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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.