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Finding the Fourth Proportional to 473.28, 704.96 and 467.52

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Solution

The fourth proportional to 473.28, 704.96 and 467.52 is: 696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.28 : 704.96 = 467.52 : x
  2. Step 2: Convert to fraction form
    473.28/704.96 = 467.52/x
  3. Step 3: Cross multiply
    473.28x = 704.96 × 467.52
  4. Step 4: Simplify right side
    473.28x = 329,582.90
  5. Step 5: Solve for x
    x = 329,582.90/473.28
  6. Step 6: Final answer
    x = 696.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.