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Finding the Fourth Proportional to 387.29, 534.43 and 221.51

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Solution

The fourth proportional to 387.29, 534.43 and 221.51 is: 305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.29 : 534.43 = 221.51 : x
  2. Step 2: Convert to fraction form
    387.29/534.43 = 221.51/x
  3. Step 3: Cross multiply
    387.29x = 534.43 × 221.51
  4. Step 4: Simplify right side
    387.29x = 118,378.36
  5. Step 5: Solve for x
    x = 118,378.36/387.29
  6. Step 6: Final answer
    x = 305.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.