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Finding the Fourth Proportional to 474.65, 708.03 and 467.09

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Solution

The fourth proportional to 474.65, 708.03 and 467.09 is: 696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.65 : 708.03 = 467.09 : x
  2. Step 2: Convert to fraction form
    474.65/708.03 = 467.09/x
  3. Step 3: Cross multiply
    474.65x = 708.03 × 467.09
  4. Step 4: Simplify right side
    474.65x = 330,711.40
  5. Step 5: Solve for x
    x = 330,711.40/474.65
  6. Step 6: Final answer
    x = 696.75

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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.