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Finding the Fourth Proportional to 474.90, 708.26 and 466.26

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Solution

The fourth proportional to 474.90, 708.26 and 466.26 is: 695.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.90 : 708.26 = 466.26 : x
  2. Step 2: Convert to fraction form
    474.90/708.26 = 466.26/x
  3. Step 3: Cross multiply
    474.90x = 708.26 × 466.26
  4. Step 4: Simplify right side
    474.90x = 330,233.31
  5. Step 5: Solve for x
    x = 330,233.31/474.90
  6. Step 6: Final answer
    x = 695.37

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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.