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Finding the Fourth Proportional to 474.81, 712.83 and 258.54

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Solution

The fourth proportional to 474.81, 712.83 and 258.54 is: 388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.81 : 712.83 = 258.54 : x
  2. Step 2: Convert to fraction form
    474.81/712.83 = 258.54/x
  3. Step 3: Cross multiply
    474.81x = 712.83 × 258.54
  4. Step 4: Simplify right side
    474.81x = 184,295.07
  5. Step 5: Solve for x
    x = 184,295.07/474.81
  6. Step 6: Final answer
    x = 388.14

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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.