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Finding the Fourth Proportional to 474.48, 712.40 and 291.33

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Solution

The fourth proportional to 474.48, 712.40 and 291.33 is: 437.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.48 : 712.40 = 291.33 : x
  2. Step 2: Convert to fraction form
    474.48/712.40 = 291.33/x
  3. Step 3: Cross multiply
    474.48x = 712.40 × 291.33
  4. Step 4: Simplify right side
    474.48x = 207,542.04
  5. Step 5: Solve for x
    x = 207,542.04/474.48
  6. Step 6: Final answer
    x = 437.41

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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.