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Finding the Fourth Proportional to 469.52, 704.48 and 287.04

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Solution

The fourth proportional to 469.52, 704.48 and 287.04 is: 430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.52 : 704.48 = 287.04 : x
  2. Step 2: Convert to fraction form
    469.52/704.48 = 287.04/x
  3. Step 3: Cross multiply
    469.52x = 704.48 × 287.04
  4. Step 4: Simplify right side
    469.52x = 202,213.94
  5. Step 5: Solve for x
    x = 202,213.94/469.52
  6. Step 6: Final answer
    x = 430.68

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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.