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Finding the Fourth Proportional to 474.72, 712.08 and 258.72

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Solution

The fourth proportional to 474.72, 712.08 and 258.72 is: 388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.72 : 712.08 = 258.72 : x
  2. Step 2: Convert to fraction form
    474.72/712.08 = 258.72/x
  3. Step 3: Cross multiply
    474.72x = 712.08 × 258.72
  4. Step 4: Simplify right side
    474.72x = 184,229.34
  5. Step 5: Solve for x
    x = 184,229.34/474.72
  6. Step 6: Final answer
    x = 388.08

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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.