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Finding the Fourth Proportional to 474.71, 712.84 and 293.26

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Solution

The fourth proportional to 474.71, 712.84 and 293.26 is: 440.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.71 : 712.84 = 293.26 : x
  2. Step 2: Convert to fraction form
    474.71/712.84 = 293.26/x
  3. Step 3: Cross multiply
    474.71x = 712.84 × 293.26
  4. Step 4: Simplify right side
    474.71x = 209,047.46
  5. Step 5: Solve for x
    x = 209,047.46/474.71
  6. Step 6: Final answer
    x = 440.37

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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.