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Finding the Fourth Proportional to 474.62, 712.37 and 292.37

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Solution

The fourth proportional to 474.62, 712.37 and 292.37 is: 438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.62 : 712.37 = 292.37 : x
  2. Step 2: Convert to fraction form
    474.62/712.37 = 292.37/x
  3. Step 3: Cross multiply
    474.62x = 712.37 × 292.37
  4. Step 4: Simplify right side
    474.62x = 208,272.79
  5. Step 5: Solve for x
    x = 208,272.79/474.62
  6. Step 6: Final answer
    x = 438.82

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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.