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Finding the Fourth Proportional to 636.33, 952.75 and 470.58

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Solution

The fourth proportional to 636.33, 952.75 and 470.58 is: 704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.33 : 952.75 = 470.58 : x
  2. Step 2: Convert to fraction form
    636.33/952.75 = 470.58/x
  3. Step 3: Cross multiply
    636.33x = 952.75 × 470.58
  4. Step 4: Simplify right side
    636.33x = 448,345.10
  5. Step 5: Solve for x
    x = 448,345.10/636.33
  6. Step 6: Final answer
    x = 704.58

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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.