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Finding the Fourth Proportional to 474.96, 713.05 and 258.69

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Solution

The fourth proportional to 474.96, 713.05 and 258.69 is: 388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.96 : 713.05 = 258.69 : x
  2. Step 2: Convert to fraction form
    474.96/713.05 = 258.69/x
  3. Step 3: Cross multiply
    474.96x = 713.05 × 258.69
  4. Step 4: Simplify right side
    474.96x = 184,457.61
  5. Step 5: Solve for x
    x = 184,457.61/474.96
  6. Step 6: Final answer
    x = 388.36

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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.